TSTP Solution File: COL099-2 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : COL099-2 : TPTP v8.1.0. Released v2.7.0.
% 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 : n029.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 15:52:51 EDT 2022

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :   31 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   34 (  19   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-4 aty)
%            Number of variables   :   17 (  17   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f187,plain,
    $false,
    inference(subsumption_resolution,[],[f186,f155]) ).

fof(f155,axiom,
    member(pair(y,ya),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1h2) ).

fof(f186,plain,
    ~ member(pair(y,ya),r),
    inference(resolution,[],[f180,f173]) ).

fof(f173,plain,
    ! [X0] :
      ( member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X0,r)),r)
      | ~ member(pair(y,X0),r) ),
    inference(subsumption_resolution,[],[f171,f154]) ).

fof(f154,axiom,
    diamond(r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1h1) ).

fof(f171,plain,
    ! [X0] :
      ( ~ diamond(r)
      | ~ member(pair(y,X0),r)
      | member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X0,r)),r) ),
    inference(resolution,[],[f153,f156]) ).

fof(f156,axiom,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1c1) ).

fof(f153,axiom,
    ! [X3,X11,X18,X7] :
      ( ~ member(pair(X3,X7),trancl(X11))
      | member(pair(X7,diamond_strip_lemmaD_sk1(X3,X7,X18,X11)),X11)
      | ~ diamond(X11)
      | ~ member(pair(X3,X18),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

fof(f180,plain,
    ~ member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r),
    inference(resolution,[],[f178,f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ~ member(pair(ya,X0),trancl(r))
      | ~ member(pair(yp,X0),r) ),
    inference(resolution,[],[f149,f157]) ).

fof(f157,axiom,
    ! [X8] :
      ( ~ member(pair(yp,X8),trancl(r))
      | ~ member(pair(ya,X8),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1c2) ).

fof(f149,axiom,
    ! [X11,X6,X4] :
      ( member(pair(X4,X6),trancl(X11))
      | ~ member(pair(X4,X6),X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).

fof(f178,plain,
    member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
    inference(resolution,[],[f177,f155]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ member(pair(y,X0),r)
      | member(pair(X0,diamond_strip_lemmaD_sk1(y,yp,X0,r)),trancl(r)) ),
    inference(subsumption_resolution,[],[f175,f154]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ diamond(r)
      | member(pair(X0,diamond_strip_lemmaD_sk1(y,yp,X0,r)),trancl(r))
      | ~ member(pair(y,X0),r) ),
    inference(resolution,[],[f152,f156]) ).

fof(f152,axiom,
    ! [X3,X11,X18,X7] :
      ( ~ member(pair(X3,X7),trancl(X11))
      | member(pair(X18,diamond_strip_lemmaD_sk1(X3,X7,X18,X11)),trancl(X11))
      | ~ member(pair(X3,X18),X11)
      | ~ diamond(X11) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL099-2 : TPTP v8.1.0. Released v2.7.0.
% 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
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit   : 300
% 0.13/0.33  % WCLimit    : 300
% 0.13/0.33  % DateTime   : Mon Aug 29 17:06:41 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.49  % (12789)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)
% 0.20/0.51  % (12784)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)
% 0.20/0.52  % (12797)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52  % (12800)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)
% 0.20/0.52  % (12813)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.52  % (12788)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.52  % (12807)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  % (12808)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.52  % (12814)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)
% 0.20/0.53  % (12801)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53  % (12786)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  % (12799)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  % (12792)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  % (12785)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)
% 0.20/0.53  % (12790)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  % (12786)First to succeed.
% 0.20/0.53  % (12787)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  % (12786)Refutation found. Thanks to Tanya!
% 0.20/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.53  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.53  % (12786)------------------------------
% 0.20/0.53  % (12786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (12786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (12786)Termination reason: Refutation
% 0.20/0.53  
% 0.20/0.53  % (12786)Memory used [KB]: 1151
% 0.20/0.53  % (12786)Time elapsed: 0.134 s
% 0.20/0.53  % (12786)Instructions burned: 8 (million)
% 0.20/0.53  % (12786)------------------------------
% 0.20/0.53  % (12786)------------------------------
% 0.20/0.53  % (12778)Success in time 0.189 s
%------------------------------------------------------------------------------