TSTP Solution File: COL099-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : COL099-1 : 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_uns --cores 0 -t %d %s

% Computer : n010.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 15:52:08 EDT 2022

% Result   : Unsatisfiable 0.19s 0.51s
% Output   : Refutation 0.19s
% 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(f44,plain,
    $false,
    inference(subsumption_resolution,[],[f43,f13]) ).

fof(f13,axiom,
    member(pair(y,ya),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1h2) ).

fof(f43,plain,
    ~ member(pair(y,ya),r),
    inference(resolution,[],[f35,f22]) ).

fof(f22,plain,
    ! [X0] :
      ( member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X0,r)),r)
      | ~ member(pair(y,X0),r) ),
    inference(subsumption_resolution,[],[f20,f12]) ).

fof(f12,axiom,
    diamond(r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1h1) ).

fof(f20,plain,
    ! [X0] :
      ( ~ member(pair(y,X0),r)
      | ~ diamond(r)
      | member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,X0,r)),r) ),
    inference(resolution,[],[f11,f14]) ).

fof(f14,axiom,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1c1) ).

fof(f11,axiom,
    ! [X10,X11,X8,X12] :
      ( ~ member(pair(X10,X11),trancl(X8))
      | ~ diamond(X8)
      | member(pair(X11,diamond_strip_lemmaD_sk1(X10,X11,X12,X8)),X8)
      | ~ member(pair(X10,X12),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD2) ).

fof(f35,plain,
    ~ member(pair(yp,diamond_strip_lemmaD_sk1(y,yp,ya,r)),r),
    inference(resolution,[],[f27,f18]) ).

fof(f18,plain,
    ! [X0] :
      ( ~ member(pair(ya,X0),trancl(r))
      | ~ member(pair(yp,X0),r) ),
    inference(resolution,[],[f7,f15]) ).

fof(f15,axiom,
    ! [X13] :
      ( ~ member(pair(yp,X13),trancl(r))
      | ~ member(pair(ya,X13),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_1c2) ).

fof(f7,axiom,
    ! [X8,X6,X7] :
      ( member(pair(X6,X7),trancl(X8))
      | ~ member(pair(X6,X7),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',r_into_trancl) ).

fof(f27,plain,
    member(pair(ya,diamond_strip_lemmaD_sk1(y,yp,ya,r)),trancl(r)),
    inference(resolution,[],[f25,f13]) ).

fof(f25,plain,
    ! [X0] :
      ( ~ member(pair(y,X0),r)
      | member(pair(X0,diamond_strip_lemmaD_sk1(y,yp,X0,r)),trancl(r)) ),
    inference(subsumption_resolution,[],[f23,f12]) ).

fof(f23,plain,
    ! [X0] :
      ( ~ diamond(r)
      | member(pair(X0,diamond_strip_lemmaD_sk1(y,yp,X0,r)),trancl(r))
      | ~ member(pair(y,X0),r) ),
    inference(resolution,[],[f10,f14]) ).

fof(f10,axiom,
    ! [X10,X11,X8,X12] :
      ( ~ member(pair(X10,X11),trancl(X8))
      | ~ diamond(X8)
      | ~ member(pair(X10,X12),X8)
      | member(pair(X12,diamond_strip_lemmaD_sk1(X10,X11,X12,X8)),trancl(X8)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_strip_lemmaD1) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COL099-1 : 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_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n010.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 17:01:59 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.50  % (19649)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51  % (19651)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.51  % (19658)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.51  % (19649)First to succeed.
% 0.19/0.51  % (19649)Refutation found. Thanks to Tanya!
% 0.19/0.51  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.51  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51  % (19649)------------------------------
% 0.19/0.51  % (19649)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51  % (19649)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51  % (19649)Termination reason: Refutation
% 0.19/0.51  
% 0.19/0.51  % (19649)Memory used [KB]: 5884
% 0.19/0.51  % (19649)Time elapsed: 0.074 s
% 0.19/0.51  % (19649)Instructions burned: 4 (million)
% 0.19/0.51  % (19649)------------------------------
% 0.19/0.51  % (19649)------------------------------
% 0.19/0.51  % (19637)Success in time 0.167 s
%------------------------------------------------------------------------------