TSTP Solution File: HWV023-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV023-2 : 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 : n014.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 16:58:16 EDT 2022

% Result   : Unsatisfiable 1.64s 0.59s
% Output   : Refutation 1.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   34 (  17 unt;   0 def)
%            Number of atoms       :   61 (  22 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   40 (  13   ~;  27   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f749,plain,
    $false,
    inference(subsumption_resolution,[],[f715,f138]) ).

fof(f138,axiom,
    ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_5) ).

fof(f715,plain,
    p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
    inference(trivial_inequality_removal,[],[f714]) ).

fof(f714,plain,
    ( n0 != n0
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))) ),
    inference(superposition,[],[f7,f710]) ).

fof(f710,plain,
    n0 = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
    inference(forward_demodulation,[],[f709,f425]) ).

fof(f425,plain,
    n0 = f_SUB_(n1,n1),
    inference(subsumption_resolution,[],[f419,f181]) ).

fof(f181,plain,
    ~ p_LES_EQU_(n1,n0),
    inference(superposition,[],[f59,f76]) ).

fof(f76,axiom,
    ! [X51] : f_ADD_(n0,X51) = X51,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).

fof(f59,axiom,
    ! [X28] : ~ p_LES_EQU_(f_ADD_(X28,n1),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).

fof(f419,plain,
    ( p_LES_EQU_(n1,n0)
    | n0 = f_SUB_(n1,n1) ),
    inference(resolution,[],[f416,f60]) ).

fof(f60,axiom,
    ! [X29] :
      ( ~ p_LES_EQU_(X29,f_SUB_(X29,n1))
      | p_LES_EQU_(X29,n0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

fof(f416,plain,
    ! [X5] :
      ( p_LES_EQU_(n1,X5)
      | n0 = X5 ),
    inference(subsumption_resolution,[],[f413,f72]) ).

fof(f72,axiom,
    ! [X46] :
      ( ~ p_LES_EQU_(X46,n0)
      | n0 = X46 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).

fof(f413,plain,
    ! [X5] :
      ( p_LES_EQU_(X5,n0)
      | n0 = X5
      | p_LES_EQU_(n1,X5) ),
    inference(resolution,[],[f224,f302]) ).

fof(f302,plain,
    ! [X0,X1] :
      ( p_LES_EQU_(X0,X1)
      | p_LES_EQU_(X1,X0) ),
    inference(resolution,[],[f70,f74]) ).

fof(f74,axiom,
    ! [X48] : p_LES_EQU_(X48,X48),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

fof(f70,axiom,
    ! [X41,X42,X43] :
      ( ~ p_LES_EQU_(X41,X42)
      | p_LES_EQU_(X43,X42)
      | p_LES_EQU_(X41,X43) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(f224,plain,
    ! [X0] :
      ( ~ p_LES_EQU_(n0,X0)
      | p_LES_EQU_(n1,X0)
      | n0 = X0 ),
    inference(superposition,[],[f67,f77]) ).

fof(f77,axiom,
    n1 = f_ADD_(n0,n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).

fof(f67,axiom,
    ! [X36,X35] :
      ( p_LES_EQU_(f_ADD_(X36,n1),X35)
      | X35 = X36
      | ~ p_LES_EQU_(X36,X35) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).

fof(f709,plain,
    f_SUB_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)),
    inference(subsumption_resolution,[],[f708,f181]) ).

fof(f708,plain,
    ( p_LES_EQU_(n1,n0)
    | f_SUB_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
    inference(forward_demodulation,[],[f707,f139]) ).

fof(f139,plain,
    n1 = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
    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,
    n1 = fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

fof(f707,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | f_SUB_(n1,n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1)) ),
    inference(forward_demodulation,[],[f706,f139]) ).

fof(f706,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),n0) ),
    inference(subsumption_resolution,[],[f705,f136]) ).

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

fof(f705,plain,
    ( f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206))
    | p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) ),
    inference(subsumption_resolution,[],[f704,f137]) ).

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

fof(f704,plain,
    ( p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0)
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
    | f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n1) = fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(t_206,n1))
    | p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
    inference(resolution,[],[f42,f135]) ).

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

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

fof(f7,axiom,
    ! [X4] :
      ( fwork_DOTfifo_DOTrtl_DOTint__level_(X4) != n0
      | p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : HWV023-2 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon Aug 29 22:58:33 EDT 2022
% 0.19/0.35  % CPUTime    : 
% 0.20/0.49  % (2774)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50  % (2783)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.50  % (2799)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50  % (2781)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.50  % (2791)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)
% 0.20/0.51  % (2772)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)
% 0.20/0.52  % (2782)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)
% 0.20/0.52  % (2794)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)
% 0.20/0.52  % (2776)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (2779)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  % (2789)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.52  % (2775)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.52  % (2779)Instruction limit reached!
% 0.20/0.52  % (2779)------------------------------
% 0.20/0.52  % (2779)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (2779)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (2779)Termination reason: Unknown
% 0.20/0.52  % (2779)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (2779)Memory used [KB]: 1023
% 0.20/0.52  % (2779)Time elapsed: 0.003 s
% 0.20/0.52  % (2779)Instructions burned: 3 (million)
% 0.20/0.52  % (2779)------------------------------
% 0.20/0.52  % (2779)------------------------------
% 0.20/0.53  % (2786)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)
% 0.20/0.53  % (2770)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)
% 0.20/0.53  % (2797)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.53  % (2784)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (2780)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (2787)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)
% 0.20/0.53  % (2792)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53  % (2793)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)
% 0.20/0.54  % (2777)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.54  % (2771)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)
% 0.20/0.54  % (2790)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)
% 0.20/0.54  % (2800)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (2777)Instruction limit reached!
% 0.20/0.54  % (2777)------------------------------
% 0.20/0.54  % (2777)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (2777)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (2777)Termination reason: Unknown
% 0.20/0.54  % (2777)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (2777)Memory used [KB]: 5628
% 0.20/0.54  % (2777)Time elapsed: 0.092 s
% 0.20/0.54  % (2777)Instructions burned: 7 (million)
% 0.20/0.54  % (2777)------------------------------
% 0.20/0.54  % (2777)------------------------------
% 0.20/0.54  % (2796)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54  % (2788)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (2785)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  % (2795)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (2798)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.55  % (2773)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)
% 1.54/0.57  % (2791)First to succeed.
% 1.64/0.58  % (2781)Instruction limit reached!
% 1.64/0.58  % (2781)------------------------------
% 1.64/0.58  % (2781)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58  % (2781)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58  % (2781)Termination reason: Unknown
% 1.64/0.58  % (2781)Termination phase: Saturation
% 1.64/0.58  
% 1.64/0.58  % (2781)Memory used [KB]: 6652
% 1.64/0.58  % (2781)Time elapsed: 0.162 s
% 1.64/0.58  % (2781)Instructions burned: 51 (million)
% 1.64/0.58  % (2781)------------------------------
% 1.64/0.58  % (2781)------------------------------
% 1.64/0.58  TRYING [1]
% 1.64/0.58  % (2774)Instruction limit reached!
% 1.64/0.58  % (2774)------------------------------
% 1.64/0.58  % (2774)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.58  % (2774)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.58  % (2774)Termination reason: Unknown
% 1.64/0.58  % (2774)Termination phase: Saturation
% 1.64/0.58  
% 1.64/0.58  % (2774)Memory used [KB]: 6140
% 1.64/0.58  % (2774)Time elapsed: 0.167 s
% 1.64/0.58  % (2774)Instructions burned: 51 (million)
% 1.64/0.58  % (2774)------------------------------
% 1.64/0.58  % (2774)------------------------------
% 1.64/0.58  TRYING [2]
% 1.64/0.58  % (2772)Also succeeded, but the first one will report.
% 1.64/0.59  % (2791)Refutation found. Thanks to Tanya!
% 1.64/0.59  % SZS status Unsatisfiable for theBenchmark
% 1.64/0.59  % SZS output start Proof for theBenchmark
% See solution above
% 1.64/0.59  % (2791)------------------------------
% 1.64/0.59  % (2791)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.64/0.59  % (2791)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.64/0.59  % (2791)Termination reason: Refutation
% 1.64/0.59  
% 1.64/0.59  % (2791)Memory used [KB]: 6012
% 1.64/0.59  % (2791)Time elapsed: 0.167 s
% 1.64/0.59  % (2791)Instructions burned: 42 (million)
% 1.64/0.59  % (2791)------------------------------
% 1.64/0.59  % (2791)------------------------------
% 1.64/0.59  % (2764)Success in time 0.227 s
%------------------------------------------------------------------------------