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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GEO083-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n002.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 : Mon May 20 20:14:25 EDT 2024

% Result   : Unsatisfiable 0.22s 0.47s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (   8 unt;   0 def)
%            Number of atoms       :   32 (   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(f3197,plain,
    $false,
    inference(unit_resulting_resolution,[],[f1790,f2032,f96,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/benchmark/theBenchmark.p',sum_defn_4) ).

fof(f96,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] :
      ( incident_c(ax0_sk1(X0,X1),X0)
      | part_of(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).

fof(f52,axiom,
    ~ part_of(sum(sk14,sk15),sum(sk14,sk16)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_70) ).

fof(f2032,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk15),
    inference(unit_resulting_resolution,[],[f49,f1791,f1]) ).

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

fof(f1791,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk16),
    inference(unit_resulting_resolution,[],[f97,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/benchmark/theBenchmark.p',sum_defn_6) ).

fof(f97,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] :
      ( ~ incident_c(ax0_sk1(X0,X1),X1)
      | part_of(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).

fof(f49,axiom,
    part_of(sk15,sk16),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_6_1_67) ).

fof(f1790,plain,
    ~ incident_c(ax0_sk1(sum(sk14,sk15),sum(sk14,sk16)),sk14),
    inference(unit_resulting_resolution,[],[f97,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/benchmark/theBenchmark.p',sum_defn_5) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : GEO083-1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.15  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.37  % Computer : n002.cluster.edu
% 0.15/0.37  % Model    : x86_64 x86_64
% 0.15/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37  % Memory   : 8042.1875MB
% 0.15/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37  % CPULimit   : 300
% 0.15/0.37  % WCLimit    : 300
% 0.15/0.37  % DateTime   : Sun May 19 15:14:08 EDT 2024
% 0.15/0.37  % CPUTime    : 
% 0.15/0.37  % (11958)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.39  % (11961)WARNING: value z3 for option sas not known
% 0.15/0.39  % (11959)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39  % (11960)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39  % (11962)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39  % (11961)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)
% 0.15/0.39  % (11963)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)
% 0.15/0.39  % (11964)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)
% 0.15/0.39  % (11965)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)
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.40  TRYING [3]
% 0.15/0.41  TRYING [1]
% 0.15/0.41  TRYING [2]
% 0.15/0.41  TRYING [4]
% 0.22/0.44  TRYING [3]
% 0.22/0.46  TRYING [5]
% 0.22/0.47  % (11965)First to succeed.
% 0.22/0.47  % (11965)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11958"
% 0.22/0.47  % (11965)Refutation found. Thanks to Tanya!
% 0.22/0.47  % SZS status Unsatisfiable for theBenchmark
% 0.22/0.47  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.47  % (11965)------------------------------
% 0.22/0.47  % (11965)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.22/0.47  % (11965)Termination reason: Refutation
% 0.22/0.47  
% 0.22/0.47  % (11965)Memory used [KB]: 1891
% 0.22/0.47  % (11965)Time elapsed: 0.082 s
% 0.22/0.47  % (11965)Instructions burned: 139 (million)
% 0.22/0.47  % (11958)Success in time 0.088 s
%------------------------------------------------------------------------------