TSTP Solution File: GEO083-1 by Vampire---4.8

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%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : GEO083-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n007.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 30 23:30:45 EDT 2023

% Result   : Unsatisfiable 0.22s 0.44s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   18 (   9 unt;   0 def)
%            Number of atoms       :   33 (   3 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   32 (  17   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (;  28   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f317,plain,
    $false,
    inference(subsumption_resolution,[],[f299,f284]) ).

fof(f284,plain,
    incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
    inference(unit_resulting_resolution,[],[f83,f115,f55]) ).

fof(f55,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/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',sum_defn_4) ).

fof(f115,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
    inference(unit_resulting_resolution,[],[f84,f54]) ).

fof(f54,plain,
    ! [X2,X3,X1] :
      ( ~ incident_c(X3,X1)
      | incident_c(X3,sum(X1,X2)) ),
    inference(equality_resolution,[],[f5]) ).

fof(f5,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ incident_c(X3,X1)
      | incident_c(X3,X0)
      | sum(X1,X2) != X0 ),
    file('/export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',sum_defn_5) ).

fof(f84,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk16)),
    inference(unit_resulting_resolution,[],[f52,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | ~ incident_c(ax0_sk1(X0,X1),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',part_of_defn_3) ).

fof(f52,axiom,
    ~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
    file('/export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',corollary_2_6_1_70) ).

fof(f83,plain,
    incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sum(sk14,sk15)),
    inference(unit_resulting_resolution,[],[f52,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( part_of(X0,X1)
      | incident_c(ax0_sk1(X0,X1),X0) ),
    file('/export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',part_of_defn_2) ).

fof(f299,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
    inference(unit_resulting_resolution,[],[f49,f116,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ part_of(X0,X1)
      | ~ incident_c(X2,X0)
      | incident_c(X2,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',part_of_defn_1) ).

fof(f116,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk16),
    inference(unit_resulting_resolution,[],[f84,f53]) ).

fof(f53,plain,
    ! [X2,X3,X1] :
      ( ~ incident_c(X3,X2)
      | incident_c(X3,sum(X1,X2)) ),
    inference(equality_resolution,[],[f6]) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ incident_c(X3,X2)
      | incident_c(X3,X0)
      | sum(X1,X2) != X0 ),
    file('/export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',sum_defn_6) ).

fof(f49,axiom,
    part_of(sk15,sk16),
    file('/export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925',corollary_2_6_1_67) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : GEO083-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n007.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 23:41:59 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.4qkjHlu005/Vampire---4.8_30925
% 0.15/0.37  % (31032)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (31036)lrs+2_5:4_anc=none:br=off:fde=unused:gsp=on:nm=32:nwc=1.3:sims=off:sos=all:urr=on:stl=62_558 on Vampire---4 for (558ds/0Mi)
% 0.22/0.43  % (31035)lrs+11_10:1_bs=unit_only:drc=off:fsd=off:fde=none:gs=on:msp=off:nm=16:nwc=2.0:nicw=on:sos=all:sac=on:sp=reverse_frequency:stl=62_575 on Vampire---4 for (575ds/0Mi)
% 0.22/0.43  % (31033)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_1192 on Vampire---4 for (1192ds/0Mi)
% 0.22/0.43  % (31037)lrs-1010_20_afr=on:anc=all_dependent:bs=on:bsr=on:cond=on:er=known:fde=none:nm=4:nwc=1.3:sims=off:sp=frequency:urr=on:stl=62_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.43  % (31034)ott+3_2:7_add=large:amm=off:anc=all:bce=on:drc=off:fsd=off:fde=unused:gs=on:irw=on:lcm=predicate:lma=on:msp=off:nwc=10.0:sac=on_598 on Vampire---4 for (598ds/0Mi)
% 0.22/0.43  % (31039)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_520 on Vampire---4 for (520ds/0Mi)
% 0.22/0.43  % (31040)ott+1010_1_aac=none:bce=on:ep=RS:fsd=off:nm=4:nwc=2.0:nicw=on:sas=z3:sims=off_453 on Vampire---4 for (453ds/0Mi)
% 0.22/0.44  % (31036)First to succeed.
% 0.22/0.44  % (31036)Refutation found. Thanks to Tanya!
% 0.22/0.44  % SZS status Unsatisfiable for Vampire---4
% 0.22/0.44  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.44  % (31036)------------------------------
% 0.22/0.44  % (31036)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.44  % (31036)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.44  % (31036)Termination reason: Refutation
% 0.22/0.44  
% 0.22/0.44  % (31036)Memory used [KB]: 5884
% 0.22/0.44  % (31036)Time elapsed: 0.016 s
% 0.22/0.44  % (31036)------------------------------
% 0.22/0.44  % (31036)------------------------------
% 0.22/0.44  % (31032)Success in time 0.07 s
% 0.22/0.44  % Vampire---4.8 exiting
%------------------------------------------------------------------------------