TSTP Solution File: GEO093-1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO093-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 05:15:26 EDT 2024

% Result   : Unsatisfiable 1.55s 0.58s
% Output   : Refutation 1.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   23 (   7 unt;   0 def)
%            Number of atoms       :   48 (  14 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   40 (  15   ~;  25   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f4383,plain,
    $false,
    inference(resolution,[],[f3849,f49]) ).

fof(f49,axiom,
    open(sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_67) ).

fof(f3849,plain,
    ~ open(sk14),
    inference(backward_demodulation,[],[f53,f3848]) ).

fof(f3848,plain,
    sk14 = sum(sk15,sk16),
    inference(duplicate_literal_removal,[],[f3836]) ).

fof(f3836,plain,
    ( sk14 = sum(sk15,sk16)
    | sk14 = sum(sk15,sk16) ),
    inference(resolution,[],[f3832,f65]) ).

fof(f65,plain,
    ! [X0] :
      ( ~ part_of(sum(sk15,sk16),X0)
      | sum(sk15,sk16) = X0 ),
    inference(resolution,[],[f35,f53]) ).

fof(f35,axiom,
    ! [X0,X1] :
      ( open(X0)
      | ~ part_of(X0,X1)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c1_35) ).

fof(f3832,plain,
    ( part_of(sum(sk15,sk16),sk14)
    | sk14 = sum(sk15,sk16) ),
    inference(duplicate_literal_removal,[],[f3825]) ).

fof(f3825,plain,
    ( part_of(sum(sk15,sk16),sk14)
    | sk14 = sum(sk15,sk16)
    | sk14 = sum(sk15,sk16) ),
    inference(resolution,[],[f3155,f74]) ).

fof(f74,plain,
    ( ~ incident_c(ax0_sk1(sum(sk15,sk16),sk14),sk15)
    | sk14 = sum(sk15,sk16) ),
    inference(resolution,[],[f73,f50]) ).

fof(f50,axiom,
    part_of(sk15,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_68) ).

fof(f73,plain,
    ! [X0,X1] :
      ( ~ part_of(X1,X0)
      | ~ incident_c(ax0_sk1(sum(sk15,sk16),X0),X1)
      | sum(sk15,sk16) = X0 ),
    inference(resolution,[],[f1,f66]) ).

fof(f66,plain,
    ! [X0] :
      ( ~ incident_c(ax0_sk1(sum(sk15,sk16),X0),X0)
      | sum(sk15,sk16) = X0 ),
    inference(resolution,[],[f65,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | ~ incident_c(ax0_sk1(X0,X1),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_3) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( incident_c(X2,X1)
      | ~ incident_c(X2,X0)
      | ~ part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_1) ).

fof(f3155,plain,
    ( incident_c(ax0_sk1(sum(sk15,sk16),sk14),sk15)
    | part_of(sum(sk15,sk16),sk14)
    | sk14 = sum(sk15,sk16) ),
    inference(resolution,[],[f238,f75]) ).

fof(f75,plain,
    ( ~ incident_c(ax0_sk1(sum(sk15,sk16),sk14),sk16)
    | sk14 = sum(sk15,sk16) ),
    inference(resolution,[],[f73,f51]) ).

fof(f51,axiom,
    part_of(sk16,sk14),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_69) ).

fof(f238,plain,
    ! [X2,X0,X1] :
      ( incident_c(ax0_sk1(sum(X0,X1),X2),X1)
      | incident_c(ax0_sk1(sum(X0,X1),X2),X0)
      | part_of(sum(X0,X1),X2) ),
    inference(resolution,[],[f56,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( incident_c(ax0_sk1(X0,X1),X0)
      | part_of(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn_2) ).

fof(f56,plain,
    ! [X2,X3,X1] :
      ( ~ incident_c(X3,sum(X1,X2))
      | incident_c(X3,X2)
      | incident_c(X3,X1) ),
    inference(equality_resolution,[],[f4]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ incident_c(X3,X0)
      | incident_c(X3,X2)
      | incident_c(X3,X1)
      | sum(X1,X2) != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sum_defn_4) ).

fof(f53,axiom,
    ~ open(sum(sk15,sk16)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_2_71) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : GEO093-1 : TPTP v8.1.2. Released v2.4.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n017.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 21:57:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.36  % (3872)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.38  % (3874)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.38  % (3875)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39  % (3876)WARNING: value z3 for option sas not known
% 0.21/0.39  % (3882)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)
% 0.21/0.39  % (3878)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.39  % (3880)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)
% 0.21/0.39  % (3876)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)
% 0.21/0.39  % (3884)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)
% 0.21/0.39  TRYING [1]
% 0.21/0.39  TRYING [2]
% 0.21/0.39  TRYING [1]
% 0.21/0.40  TRYING [2]
% 0.21/0.40  TRYING [3]
% 0.21/0.42  TRYING [4]
% 0.21/0.42  TRYING [3]
% 0.21/0.46  TRYING [5]
% 0.21/0.53  TRYING [6]
% 1.33/0.54  TRYING [4]
% 1.55/0.58  % (3882)First to succeed.
% 1.55/0.58  % (3882)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3872"
% 1.55/0.58  % (3882)Refutation found. Thanks to Tanya!
% 1.55/0.58  % SZS status Unsatisfiable for theBenchmark
% 1.55/0.58  % SZS output start Proof for theBenchmark
% See solution above
% 1.55/0.58  % (3882)------------------------------
% 1.55/0.58  % (3882)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.55/0.58  % (3882)Termination reason: Refutation
% 1.55/0.58  
% 1.55/0.58  % (3882)Memory used [KB]: 2788
% 1.55/0.58  % (3882)Time elapsed: 0.192 s
% 1.55/0.58  % (3882)Instructions burned: 431 (million)
% 1.55/0.58  % (3872)Success in time 0.206 s
%------------------------------------------------------------------------------