TSTP Solution File: COL100-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n011.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 : Sun May  5 04:45:54 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   19 (  12 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   29 (  16   ~;  13   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-4 aty)
%            Number of variables   :   19 (  19   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1092,plain,
    $false,
    inference(subsumption_resolution,[],[f1088,f813]) ).

fof(f813,plain,
    member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f505,f7]) ).

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

fof(f505,plain,
    member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),r),
    inference(unit_resulting_resolution,[],[f12,f14,f123,f11]) ).

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

fof(f123,plain,
    member(pair(ya,sk1(yp)),trancl(r)),
    inference(unit_resulting_resolution,[],[f17,f15]) ).

fof(f15,axiom,
    ! [X12] :
      ( ~ member(pair(y,X12),trancl(r))
      | member(pair(ya,sk1(X12)),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h4) ).

fof(f17,axiom,
    member(pair(y,yp),trancl(r)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c1) ).

fof(f14,axiom,
    member(pair(ya,z),r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h3) ).

fof(f12,axiom,
    diamond(r),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h1) ).

fof(f1088,plain,
    ~ member(pair(sk1(yp),diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f8,f155,f1070,f9]) ).

fof(f9,axiom,
    ! [X8,X6,X9,X7] :
      ( ~ member(pair(X7,X9),X8)
      | ~ trans(X8)
      | ~ member(pair(X6,X7),X8)
      | member(pair(X6,X9),X8) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transD) ).

fof(f1070,plain,
    ~ member(pair(yp,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f894,f18]) ).

fof(f18,axiom,
    ! [X13] :
      ( ~ member(pair(yp,X13),trancl(r))
      | ~ member(pair(z,X13),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2c2) ).

fof(f894,plain,
    member(pair(z,diamond_strip_lemmaD_sk1(ya,sk1(yp),z,r)),trancl(r)),
    inference(unit_resulting_resolution,[],[f12,f14,f123,f10]) ).

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

fof(f155,plain,
    member(pair(yp,sk1(yp)),trancl(r)),
    inference(unit_resulting_resolution,[],[f17,f16]) ).

fof(f16,axiom,
    ! [X12] :
      ( ~ member(pair(y,X12),trancl(r))
      | member(pair(X12,sk1(X12)),trancl(r)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diamond_trancl_2h5) ).

fof(f8,axiom,
    ! [X8] : trans(trancl(X8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_trancl) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : COL100-1 : TPTP v8.1.2. Released v2.7.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n011.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 18:28:08 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.15/0.31  % (9572)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33  % (9575)WARNING: value z3 for option sas not known
% 0.15/0.33  % (9574)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.33  % (9579)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.33  % (9575)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33  % (9573)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.33  % (9576)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.33  % (9577)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.33  % (9578)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.33  TRYING [1]
% 0.15/0.33  TRYING [2]
% 0.15/0.33  TRYING [3]
% 0.15/0.33  TRYING [1]
% 0.15/0.34  TRYING [2]
% 0.15/0.34  TRYING [4]
% 0.15/0.35  TRYING [3]
% 0.15/0.36  % (9579)First to succeed.
% 0.15/0.36  % (9579)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9572"
% 0.15/0.36  TRYING [5]
% 0.15/0.36  % (9579)Refutation found. Thanks to Tanya!
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36  % (9579)------------------------------
% 0.15/0.36  % (9579)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36  % (9579)Termination reason: Refutation
% 0.15/0.36  
% 0.15/0.36  % (9579)Memory used [KB]: 1489
% 0.15/0.36  % (9579)Time elapsed: 0.033 s
% 0.15/0.36  % (9579)Instructions burned: 79 (million)
% 0.15/0.36  % (9572)Success in time 0.044 s
%------------------------------------------------------------------------------