TSTP Solution File: COL098-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : COL098-1 : 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 : n028.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 04:45:53 EDT 2024

% Result   : Unsatisfiable 0.15s 0.40s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (   5 unt;   0 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   75 (  43   ~;  32   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :   31 (  31   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f301,plain,
    $false,
    inference(resolution,[],[f299,f16]) ).

fof(f16,axiom,
    member(pair(x,sk3),r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c1) ).

fof(f299,plain,
    ~ member(pair(x,sk3),r),
    inference(resolution,[],[f298,f13]) ).

fof(f13,axiom,
    member(pair(y,z),r),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h4) ).

fof(f298,plain,
    ( ~ member(pair(y,z),r)
    | ~ member(pair(x,sk3),r) ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f296,plain,
    ( ~ member(pair(y,z),r)
    | ~ member(pair(x,sk3),r)
    | ~ member(pair(x,sk3),r) ),
    inference(resolution,[],[f270,f15]) ).

fof(f15,axiom,
    ! [X12] :
      ( member(pair(y,sk2(X12)),r)
      | ~ member(pair(x,X12),r) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h6) ).

fof(f270,plain,
    ! [X0] :
      ( ~ member(pair(X0,sk2(sk3)),r)
      | ~ member(pair(X0,z),r)
      | ~ member(pair(x,sk3),r) ),
    inference(resolution,[],[f267,f14]) ).

fof(f14,axiom,
    ! [X12] :
      ( member(pair(X12,sk2(X12)),trancl(r))
      | ~ member(pair(x,X12),r) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h5) ).

fof(f267,plain,
    ! [X0,X1] :
      ( ~ member(pair(sk3,X0),trancl(r))
      | ~ member(pair(X1,X0),r)
      | ~ member(pair(X1,z),r) ),
    inference(duplicate_literal_removal,[],[f265]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( ~ member(pair(sk3,X0),trancl(r))
      | ~ member(pair(X1,X0),r)
      | ~ member(pair(X1,z),r)
      | ~ member(pair(X1,X0),r)
      | ~ member(pair(X1,z),r) ),
    inference(resolution,[],[f76,f11]) ).

fof(f11,axiom,
    ! [X10,X11,X12] :
      ( member(pair(X12,sk1(X10,X11,X12)),r)
      | ~ member(pair(X10,X12),r)
      | ~ member(pair(X10,X11),r) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h2) ).

fof(f76,plain,
    ! [X2,X0,X1] :
      ( ~ member(pair(X2,sk1(X0,z,X1)),r)
      | ~ member(pair(sk3,X2),trancl(r))
      | ~ member(pair(X0,X1),r)
      | ~ member(pair(X0,z),r) ),
    inference(resolution,[],[f33,f10]) ).

fof(f10,axiom,
    ! [X10,X11,X12] :
      ( member(pair(X11,sk1(X10,X11,X12)),r)
      | ~ member(pair(X10,X12),r)
      | ~ member(pair(X10,X11),r) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2h1) ).

fof(f33,plain,
    ! [X0,X1] :
      ( ~ member(pair(sk3,X0),trancl(r))
      | ~ member(pair(z,X1),r)
      | ~ member(pair(X0,X1),r) ),
    inference(resolution,[],[f27,f7]) ).

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

fof(f27,plain,
    ! [X0,X1] :
      ( ~ member(pair(sk3,X0),trancl(r))
      | ~ member(pair(X0,X1),trancl(r))
      | ~ member(pair(z,X1),r) ),
    inference(resolution,[],[f24,f8]) ).

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

fof(f24,plain,
    ! [X0,X1] :
      ( ~ trans(trancl(r))
      | ~ member(pair(sk3,X0),trancl(r))
      | ~ member(pair(X0,X1),trancl(r))
      | ~ member(pair(z,X1),r) ),
    inference(resolution,[],[f9,f17]) ).

fof(f17,axiom,
    ! [X13] :
      ( ~ member(pair(sk3,X13),trancl(r))
      | ~ member(pair(z,X13),r) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diamond_strip_lemmaD_2c2) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : COL098-1 : TPTP v8.1.2. Released v2.7.0.
% 0.12/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n028.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 18:29:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (14832)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37  % (14835)WARNING: value z3 for option sas not known
% 0.15/0.38  % (14833)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (14834)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (14836)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (14835)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)
% 0.15/0.38  % (14837)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)
% 0.15/0.38  % (14838)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)
% 0.15/0.38  % (14839)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  % (14838)First to succeed.
% 0.15/0.40  % (14838)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14832"
% 0.15/0.40  % (14838)Refutation found. Thanks to Tanya!
% 0.15/0.40  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40  % (14838)------------------------------
% 0.15/0.40  % (14838)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40  % (14838)Termination reason: Refutation
% 0.15/0.40  
% 0.15/0.40  % (14838)Memory used [KB]: 937
% 0.15/0.40  % (14838)Time elapsed: 0.022 s
% 0.15/0.40  % (14838)Instructions burned: 36 (million)
% 0.15/0.40  % (14832)Success in time 0.039 s
%------------------------------------------------------------------------------