TSTP Solution File: HWV027-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV027-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n019.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 16:58:18 EDT 2022

% Result   : Unsatisfiable 1.72s 0.57s
% Output   : Refutation 1.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   27 (  20 unt;   0 def)
%            Number of atoms       :   41 (  20 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   23 (   9   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   8 con; 0-2 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f179,plain,
    $false,
    inference(subsumption_resolution,[],[f178,f153]) ).

fof(f153,plain,
    sF5 != sF3,
    inference(definition_folding,[],[f138,f152,f151,f150]) ).

fof(f150,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF3,
    introduced(function_definition,[]) ).

fof(f151,plain,
    f_ADD_(t_206,n1) = sF4,
    introduced(function_definition,[]) ).

fof(f152,plain,
    sF5 = fwork_DOTfifo_DOTrtl_DOTint__level_(sF4),
    introduced(function_definition,[]) ).

fof(f138,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
    inference(definition_unfolding,[],[f137,f4,f4]) ).

fof(f4,axiom,
    ! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f137,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f178,plain,
    sF5 = sF3,
    inference(forward_demodulation,[],[f177,f150]) ).

fof(f177,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = sF5,
    inference(forward_demodulation,[],[f176,f152]) ).

fof(f176,plain,
    fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(sF4),
    inference(subsumption_resolution,[],[f175,f145]) ).

fof(f145,plain,
    ~ p__pred_(sF0),
    inference(definition_folding,[],[f136,f144]) ).

fof(f144,plain,
    fwork_DOTfifo_DOTrtl_DOTrd_(t_206) = sF0,
    introduced(function_definition,[]) ).

fof(f136,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f175,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(sF4)
    | p__pred_(sF0) ),
    inference(forward_demodulation,[],[f174,f144]) ).

fof(f174,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(sF4) ),
    inference(subsumption_resolution,[],[f173,f147]) ).

fof(f147,plain,
    ~ p__pred_(sF1),
    inference(definition_folding,[],[f135,f146]) ).

fof(f146,plain,
    fwork_DOTfifo_DOTrtl_DOTreset_(t_206) = sF1,
    introduced(function_definition,[]) ).

fof(f135,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f173,plain,
    ( p__pred_(sF1)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(sF4)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(forward_demodulation,[],[f172,f146]) ).

fof(f172,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(sF4) ),
    inference(forward_demodulation,[],[f171,f151]) ).

fof(f171,plain,
    ( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(subsumption_resolution,[],[f170,f149]) ).

fof(f149,plain,
    ~ p__pred_(sF2),
    inference(definition_folding,[],[f134,f148]) ).

fof(f148,plain,
    fwork_DOTfifo_DOTrtl_DOTwr_(t_206) = sF2,
    introduced(function_definition,[]) ).

fof(f134,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f170,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(sF2)
    | fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
    inference(superposition,[],[f50,f148]) ).

fof(f50,axiom,
    ! [X10] :
      ( p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = fwork_DOTfifo_DOTrtl_DOTint__level_(X10)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_51) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : HWV027-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34  % Computer : n019.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Mon Aug 29 23:01:20 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.19/0.53  % (2715)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.55  % (2714)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.32/0.55  % (2733)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.32/0.55  % (2734)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.32/0.55  % (2719)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.32/0.56  % (2719)Instruction limit reached!
% 1.32/0.56  % (2719)------------------------------
% 1.32/0.56  % (2719)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.32/0.56  % (2719)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.32/0.56  % (2719)Termination reason: Unknown
% 1.32/0.56  % (2719)Termination phase: Function definition elimination
% 1.32/0.56  
% 1.32/0.56  % (2719)Memory used [KB]: 1023
% 1.32/0.56  % (2719)Time elapsed: 0.003 s
% 1.32/0.56  % (2719)Instructions burned: 2 (million)
% 1.32/0.56  % (2719)------------------------------
% 1.32/0.56  % (2719)------------------------------
% 1.32/0.56  % (2726)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 1.32/0.56  % (2730)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.32/0.57  % (2721)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.32/0.57  % (2715)First to succeed.
% 1.72/0.57  % (2722)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.72/0.57  % (2715)Refutation found. Thanks to Tanya!
% 1.72/0.57  % SZS status Unsatisfiable for theBenchmark
% 1.72/0.57  % SZS output start Proof for theBenchmark
% See solution above
% 1.72/0.57  % (2715)------------------------------
% 1.72/0.57  % (2715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.72/0.57  % (2715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.72/0.57  % (2715)Termination reason: Refutation
% 1.72/0.57  
% 1.72/0.57  % (2715)Memory used [KB]: 5756
% 1.72/0.57  % (2715)Time elapsed: 0.128 s
% 1.72/0.57  % (2715)Instructions burned: 13 (million)
% 1.72/0.57  % (2715)------------------------------
% 1.72/0.57  % (2715)------------------------------
% 1.72/0.57  % (2710)Success in time 0.223 s
%------------------------------------------------------------------------------