TSTP Solution File: HWV018-1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : HWV018-1 : 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 : n009.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 16:58:14 EDT 2022

% Result   : Unsatisfiable 1.57s 0.56s
% Output   : Refutation 1.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   41 (  17 unt;   3 typ;   0 def)
%            Number of atoms       :   81 (  16 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   63 (  20   ~;  43   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   13 (  13   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_14,type,
    sQ1_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_15,type,
    sQ2_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_16,type,
    sQ3_eqProxy: ( $real * $real ) > $o ).

fof(f510,plain,
    $false,
    inference(subsumption_resolution,[],[f509,f444]) ).

fof(f444,plain,
    ~ p_Full(plus(t_139,n1)),
    inference(subsumption_resolution,[],[f145,f433]) ).

fof(f433,plain,
    p_Wr_error(plus(t_139,n1)),
    inference(subsumption_resolution,[],[f432,f167]) ).

fof(f167,plain,
    ! [X21] : ~ gt(X21,X21),
    inference(literal_reordering,[],[f17]) ).

fof(f17,axiom,
    ! [X21] : ~ gt(X21,X21),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f432,plain,
    ( gt(fifo_length,fifo_length)
    | p_Wr_error(plus(t_139,n1)) ),
    inference(forward_demodulation,[],[f431,f280]) ).

fof(f280,plain,
    fifo_length = int_level(t_139),
    inference(resolution,[],[f121,f161]) ).

fof(f161,plain,
    p_Full(t_139),
    inference(literal_reordering,[],[f93]) ).

fof(f93,axiom,
    p_Full(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_3) ).

fof(f121,plain,
    ! [X27] :
      ( ~ p_Full(X27)
      | fifo_length = int_level(X27) ),
    inference(literal_reordering,[],[f23]) ).

fof(f23,axiom,
    ! [X27] :
      ( ~ p_Full(X27)
      | fifo_length = int_level(X27) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_23) ).

fof(f431,plain,
    ( p_Wr_error(plus(t_139,n1))
    | gt(fifo_length,int_level(t_139)) ),
    inference(subsumption_resolution,[],[f430,f99]) ).

fof(f99,plain,
    ~ p_Rd(t_139),
    inference(literal_reordering,[],[f91]) ).

fof(f91,axiom,
    ~ p_Rd(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_1) ).

fof(f430,plain,
    ( gt(fifo_length,int_level(t_139))
    | p_Wr_error(plus(t_139,n1))
    | p_Rd(t_139) ),
    inference(subsumption_resolution,[],[f427,f149]) ).

fof(f149,plain,
    ~ p_Reset(t_139),
    inference(literal_reordering,[],[f94]) ).

fof(f94,axiom,
    ~ p_Reset(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_4) ).

fof(f427,plain,
    ( gt(fifo_length,int_level(t_139))
    | p_Reset(t_139)
    | p_Rd(t_139)
    | p_Wr_error(plus(t_139,n1)) ),
    inference(resolution,[],[f177,f125]) ).

fof(f125,plain,
    p_Wr(t_139),
    inference(literal_reordering,[],[f92]) ).

fof(f92,axiom,
    p_Wr(t_139),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_2) ).

fof(f177,plain,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Reset(X34)
      | gt(fifo_length,int_level(X34))
      | p_Rd(X34)
      | p_Wr_error(plus(X34,n1)) ),
    inference(literal_reordering,[],[f42]) ).

fof(f42,axiom,
    ! [X34] :
      ( gt(fifo_length,int_level(X34))
      | ~ p_Wr(X34)
      | p_Wr_error(plus(X34,n1))
      | p_Reset(X34)
      | p_Rd(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_42) ).

fof(f145,plain,
    ( ~ p_Wr_error(plus(t_139,n1))
    | ~ p_Full(plus(t_139,n1)) ),
    inference(literal_reordering,[],[f95]) ).

fof(f95,axiom,
    ( ~ p_Full(plus(t_139,n1))
    | ~ p_Wr_error(plus(t_139,n1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quest_5) ).

fof(f509,plain,
    p_Full(plus(t_139,n1)),
    inference(trivial_inequality_removal,[],[f507]) ).

fof(f507,plain,
    ( p_Full(plus(t_139,n1))
    | fifo_length != fifo_length ),
    inference(superposition,[],[f182,f505]) ).

fof(f505,plain,
    fifo_length = int_level(plus(t_139,n1)),
    inference(forward_demodulation,[],[f504,f280]) ).

fof(f504,plain,
    int_level(plus(t_139,n1)) = int_level(t_139),
    inference(subsumption_resolution,[],[f503,f167]) ).

fof(f503,plain,
    ( gt(fifo_length,fifo_length)
    | int_level(plus(t_139,n1)) = int_level(t_139) ),
    inference(forward_demodulation,[],[f502,f280]) ).

fof(f502,plain,
    ( gt(fifo_length,int_level(t_139))
    | int_level(plus(t_139,n1)) = int_level(t_139) ),
    inference(subsumption_resolution,[],[f494,f149]) ).

fof(f494,plain,
    ( gt(fifo_length,int_level(t_139))
    | p_Reset(t_139)
    | int_level(plus(t_139,n1)) = int_level(t_139) ),
    inference(resolution,[],[f492,f99]) ).

fof(f492,plain,
    ! [X34] :
      ( p_Rd(X34)
      | p_Reset(X34)
      | int_level(X34) = int_level(plus(X34,n1))
      | gt(fifo_length,int_level(X34)) ),
    inference(subsumption_resolution,[],[f118,f164]) ).

fof(f164,plain,
    ! [X34] :
      ( p_Rd(X34)
      | int_level(X34) = int_level(plus(X34,n1))
      | p_Reset(X34)
      | p_Wr(X34) ),
    inference(literal_reordering,[],[f82]) ).

fof(f82,axiom,
    ! [X34] :
      ( p_Reset(X34)
      | p_Rd(X34)
      | int_level(X34) = int_level(plus(X34,n1))
      | p_Wr(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_82) ).

fof(f118,plain,
    ! [X34] :
      ( int_level(X34) = int_level(plus(X34,n1))
      | p_Reset(X34)
      | p_Rd(X34)
      | gt(fifo_length,int_level(X34))
      | ~ p_Wr(X34) ),
    inference(literal_reordering,[],[f44]) ).

fof(f44,axiom,
    ! [X34] :
      ( ~ p_Wr(X34)
      | p_Reset(X34)
      | int_level(X34) = int_level(plus(X34,n1))
      | gt(fifo_length,int_level(X34))
      | p_Rd(X34) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_44) ).

fof(f182,plain,
    ! [X26] :
      ( int_level(X26) != fifo_length
      | p_Full(X26) ),
    inference(literal_reordering,[],[f22]) ).

fof(f22,axiom,
    ! [X26] :
      ( int_level(X26) != fifo_length
      | p_Full(X26) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_22) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : HWV018-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % 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 : n009.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 22:54:35 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.51  % (8722)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)
% 0.20/0.52  % (8744)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)
% 0.20/0.53  % (8735)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  % (8739)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.53  % (8725)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (8723)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)
% 0.20/0.53  % (8727)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)
% 0.20/0.53  % (8724)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)
% 0.20/0.53  % (8747)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  % (8734)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  % (8732)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)
% 0.20/0.53  % (8721)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  % (8731)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (8733)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53  % (8726)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)
% 0.20/0.53  % (8729)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.53  % (8729)Instruction limit reached!
% 0.20/0.53  % (8729)------------------------------
% 0.20/0.53  % (8729)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (8729)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (8729)Termination reason: Unknown
% 0.20/0.53  % (8729)Termination phase: Function definition elimination
% 0.20/0.53  
% 0.20/0.53  % (8729)Memory used [KB]: 895
% 0.20/0.53  % (8729)Time elapsed: 0.002 s
% 0.20/0.53  % (8729)Instructions burned: 2 (million)
% 0.20/0.53  % (8729)------------------------------
% 0.20/0.53  % (8729)------------------------------
% 0.20/0.54  % (8745)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54  % (8736)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)
% 0.20/0.54  % (8738)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (8750)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  % (8748)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)
% 0.20/0.54  % (8743)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  % (8749)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (8737)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)
% 0.20/0.54  % (8746)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  % (8730)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)
% 0.20/0.55  % (8742)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (8728)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (8740)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)
% 0.20/0.55  % (8741)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)
% 0.20/0.55  TRYING [1]
% 1.57/0.55  TRYING [2]
% 1.57/0.56  % (8735)First to succeed.
% 1.57/0.56  % (8735)Refutation found. Thanks to Tanya!
% 1.57/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.57/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.57/0.56  % (8735)------------------------------
% 1.57/0.56  % (8735)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56  % (8735)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56  % (8735)Termination reason: Refutation
% 1.57/0.56  
% 1.57/0.56  % (8735)Memory used [KB]: 6012
% 1.57/0.56  % (8735)Time elapsed: 0.012 s
% 1.57/0.56  % (8735)Instructions burned: 19 (million)
% 1.57/0.56  % (8735)------------------------------
% 1.57/0.56  % (8735)------------------------------
% 1.57/0.56  % (8720)Success in time 0.21 s
%------------------------------------------------------------------------------