TSTP Solution File: HWV014-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV014-2 : 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 : n001.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 16:58:13 EDT 2022

% Result   : Unsatisfiable 1.34s 0.53s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  12 unt;   0 def)
%            Number of atoms       :   31 (   7 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   23 (   9   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   4 con; 0-2 aty)
%            Number of variables   :    3 (   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f305,plain,
    $false,
    inference(subsumption_resolution,[],[f304,f135]) ).

fof(f135,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

fof(f304,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
    inference(subsumption_resolution,[],[f303,f136]) ).

fof(f136,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

fof(f303,plain,
    ( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(subsumption_resolution,[],[f302,f170]) ).

fof(f170,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_)),
    inference(backward_demodulation,[],[f139,f79]) ).

fof(f79,axiom,
    n0 = f__length_(f__empty_),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

fof(f139,plain,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0),
    inference(definition_unfolding,[],[f134,f4]) ).

fof(f4,axiom,
    ! [X1] : fwork_DOTfifo_DOTrtl_DOTlevel_(X1) = fwork_DOTfifo_DOTrtl_DOTint__level_(X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

fof(f134,axiom,
    ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

fof(f302,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
    inference(subsumption_resolution,[],[f301,f140]) ).

fof(f140,plain,
    f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) != fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
    inference(definition_unfolding,[],[f138,f4,f4]) ).

fof(f138,axiom,
    fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)) != f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).

fof(f301,plain,
    ( f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),f__length_(f__empty_))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(resolution,[],[f162,f137]) ).

fof(f137,axiom,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

fof(f162,plain,
    ! [X10] :
      ( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),f__length_(f__empty_))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n1)
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ),
    inference(backward_demodulation,[],[f42,f79]) ).

fof(f42,axiom,
    ! [X10] :
      ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n0)
      | fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(X10,n1)) = f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(X10),n1)
      | ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(X10))
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : HWV014-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n001.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Aug 29 23:18:15 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  % (29488)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)
% 0.20/0.50  % (29479)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)
% 0.20/0.50  % (29464)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (29475)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)
% 0.20/0.50  % (29471)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.51  % (29467)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51  % (29477)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (29476)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.51  % (29465)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.51  % (29471)Instruction limit reached!
% 0.20/0.51  % (29471)------------------------------
% 0.20/0.51  % (29471)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51  % (29471)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51  % (29471)Termination reason: Unknown
% 0.20/0.51  % (29480)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51  % (29471)Termination phase: Saturation
% 0.20/0.51  
% 0.20/0.51  % (29471)Memory used [KB]: 5628
% 0.20/0.51  % (29471)Time elapsed: 0.075 s
% 0.20/0.51  % (29471)Instructions burned: 7 (million)
% 0.20/0.51  % (29471)------------------------------
% 0.20/0.51  % (29471)------------------------------
% 0.20/0.52  % (29466)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)
% 0.20/0.52  % (29472)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (29472)Instruction limit reached!
% 0.20/0.52  % (29472)------------------------------
% 0.20/0.52  % (29472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (29472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (29472)Termination reason: Unknown
% 0.20/0.52  % (29472)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (29472)Memory used [KB]: 1023
% 0.20/0.52  % (29472)Time elapsed: 0.002 s
% 0.20/0.52  % (29472)Instructions burned: 2 (million)
% 0.20/0.52  % (29472)------------------------------
% 0.20/0.52  % (29472)------------------------------
% 0.20/0.52  % (29488)First to succeed.
% 1.34/0.53  % (29485)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.34/0.53  % (29463)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.34/0.53  % (29474)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.34/0.53  % (29489)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.34/0.53  % (29488)Refutation found. Thanks to Tanya!
% 1.34/0.53  % SZS status Unsatisfiable for theBenchmark
% 1.34/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 1.34/0.53  % (29488)------------------------------
% 1.34/0.53  % (29488)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.34/0.53  % (29488)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.34/0.53  % (29488)Termination reason: Refutation
% 1.34/0.53  
% 1.34/0.53  % (29488)Memory used [KB]: 5756
% 1.34/0.53  % (29488)Time elapsed: 0.086 s
% 1.34/0.53  % (29488)Instructions burned: 22 (million)
% 1.34/0.53  % (29488)------------------------------
% 1.34/0.53  % (29488)------------------------------
% 1.34/0.53  % (29457)Success in time 0.179 s
%------------------------------------------------------------------------------