TSTP Solution File: HWV006-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HWV006-2 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 22:01:47 EDT 2024

% Result   : Unsatisfiable 0.15s 0.39s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   50
% Syntax   : Number of formulae    :  156 (  77 unt;   0 def)
%            Number of atoms       :  254 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  193 (  95   ~;  98   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :   13 (  12 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   1 con; 0-1 aty)
%            Number of variables   :   41 (  41   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f398,plain,
    $false,
    inference(subsumption_resolution,[],[f396,f373]) ).

fof(f373,plain,
    abnormal(or1(f)),
    inference(subsumption_resolution,[],[f372,f343]) ).

fof(f343,plain,
    ~ zero(in1(or1(f))),
    inference(resolution,[],[f340,f5]) ).

fof(f5,axiom,
    ! [X2] :
      ( ~ one(X2)
      | ~ zero(X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unique_value) ).

fof(f340,plain,
    one(in1(or1(f))),
    inference(resolution,[],[f339,f271]) ).

fof(f271,plain,
    ( ~ one(outc(h2(f)))
    | one(in1(or1(f))) ),
    inference(resolution,[],[f268,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ connection(X0,X1)
      | one(X1)
      | ~ one(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one1) ).

fof(f268,plain,
    connection(outc(h2(f)),in1(or1(f))),
    inference(resolution,[],[f46,f52]) ).

fof(f52,axiom,
    fulladder(f),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).

fof(f46,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | connection(outc(h2(X4)),in1(or1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outch2_in1or1) ).

fof(f339,plain,
    one(outc(h2(f))),
    inference(subsumption_resolution,[],[f235,f329]) ).

fof(f329,plain,
    one(out1(and2(h2(f)))),
    inference(resolution,[],[f324,f294]) ).

fof(f294,plain,
    ( ~ one(in2(and2(h2(f))))
    | one(out1(and2(h2(f)))) ),
    inference(subsumption_resolution,[],[f291,f204]) ).

fof(f204,plain,
    one(in1(and2(h2(f)))),
    inference(subsumption_resolution,[],[f201,f138]) ).

fof(f138,plain,
    one(in1(h2(f))),
    inference(subsumption_resolution,[],[f135,f53]) ).

fof(f53,axiom,
    one(in1(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).

fof(f135,plain,
    ( one(in1(h2(f)))
    | ~ one(in1(f)) ),
    inference(resolution,[],[f132,f2]) ).

fof(f132,plain,
    connection(in1(f),in1(h2(f))),
    inference(resolution,[],[f47,f52]) ).

fof(f47,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | connection(in1(X4),in1(h2(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in1_in1h2) ).

fof(f201,plain,
    ( one(in1(and2(h2(f))))
    | ~ one(in1(h2(f))) ),
    inference(resolution,[],[f125,f2]) ).

fof(f125,plain,
    connection(in1(h2(f)),in1(and2(h2(f)))),
    inference(resolution,[],[f34,f73]) ).

fof(f73,plain,
    halfadder(h2(f)),
    inference(resolution,[],[f42,f52]) ).

fof(f42,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | halfadder(h2(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder2) ).

fof(f34,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(in1(X4),in1(and2(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in1_in1and2) ).

fof(f291,plain,
    ( ~ one(in2(and2(h2(f))))
    | ~ one(in1(and2(h2(f))))
    | one(out1(and2(h2(f)))) ),
    inference(resolution,[],[f8,f84]) ).

fof(f84,plain,
    and_ok(and2(h2(f))),
    inference(subsumption_resolution,[],[f80,f59]) ).

fof(f59,axiom,
    ~ abnormal(and2(h2(f))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2) ).

fof(f80,plain,
    ( and_ok(and2(h2(f)))
    | abnormal(and2(h2(f))) ),
    inference(resolution,[],[f13,f76]) ).

fof(f76,plain,
    logic_and(and2(h2(f))),
    inference(resolution,[],[f73,f29]) ).

fof(f29,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | logic_and(and2(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and2) ).

fof(f13,axiom,
    ! [X3] :
      ( ~ logic_and(X3)
      | and_ok(X3)
      | abnormal(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_ok_or_abnormal) ).

fof(f8,axiom,
    ! [X3] :
      ( ~ and_ok(X3)
      | ~ one(in2(X3))
      | ~ one(in1(X3))
      | one(out1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_11_1) ).

fof(f324,plain,
    one(in2(and2(h2(f)))),
    inference(resolution,[],[f322,f217]) ).

fof(f217,plain,
    ( ~ one(in2(h2(f)))
    | one(in2(and2(h2(f)))) ),
    inference(resolution,[],[f127,f2]) ).

fof(f127,plain,
    connection(in2(h2(f)),in2(and2(h2(f)))),
    inference(resolution,[],[f35,f73]) ).

fof(f35,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(in2(X4),in2(and2(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2and2) ).

fof(f322,plain,
    one(in2(h2(f))),
    inference(resolution,[],[f321,f260]) ).

fof(f260,plain,
    ( ~ one(outs(h1(f)))
    | one(in2(h2(f))) ),
    inference(resolution,[],[f257,f2]) ).

fof(f257,plain,
    connection(outs(h1(f)),in2(h2(f))),
    inference(resolution,[],[f44,f52]) ).

fof(f44,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | connection(outs(h1(X4)),in2(h2(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outsh1_in2h2) ).

fof(f321,plain,
    one(outs(h1(f))),
    inference(subsumption_resolution,[],[f219,f308]) ).

fof(f308,plain,
    one(out1(and1(h1(f)))),
    inference(resolution,[],[f307,f295]) ).

fof(f295,plain,
    ( ~ one(in2(and1(h1(f))))
    | one(out1(and1(h1(f)))) ),
    inference(subsumption_resolution,[],[f292,f278]) ).

fof(f278,plain,
    one(in1(and1(h1(f)))),
    inference(subsumption_resolution,[],[f275,f186]) ).

fof(f186,plain,
    one(out1(or1(h1(f)))),
    inference(resolution,[],[f185,f110]) ).

fof(f110,plain,
    ( ~ one(in2(or1(h1(f))))
    | one(out1(or1(h1(f)))) ),
    inference(resolution,[],[f15,f89]) ).

fof(f89,plain,
    or_ok(or1(h1(f))),
    inference(subsumption_resolution,[],[f86,f61]) ).

fof(f61,axiom,
    ~ abnormal(or1(h1(f))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1h1) ).

fof(f86,plain,
    ( or_ok(or1(h1(f)))
    | abnormal(or1(h1(f))) ),
    inference(resolution,[],[f21,f69]) ).

fof(f69,plain,
    logic_or(or1(h1(f))),
    inference(resolution,[],[f68,f31]) ).

fof(f31,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | logic_or(or1(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_or1) ).

fof(f68,plain,
    halfadder(h1(f)),
    inference(resolution,[],[f41,f52]) ).

fof(f41,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | halfadder(h1(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_halfadder1) ).

fof(f21,axiom,
    ! [X3] :
      ( ~ logic_or(X3)
      | or_ok(X3)
      | abnormal(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_ok_or_abnormal) ).

fof(f15,axiom,
    ! [X3] :
      ( ~ or_ok(X3)
      | ~ one(in2(X3))
      | one(out1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_x1_1) ).

fof(f185,plain,
    one(in2(or1(h1(f)))),
    inference(subsumption_resolution,[],[f182,f152]) ).

fof(f152,plain,
    one(in2(h1(f))),
    inference(subsumption_resolution,[],[f149,f55]) ).

fof(f55,axiom,
    one(inc(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).

fof(f149,plain,
    ( one(in2(h1(f)))
    | ~ one(inc(f)) ),
    inference(resolution,[],[f146,f2]) ).

fof(f146,plain,
    connection(inc(f),in2(h1(f))),
    inference(resolution,[],[f49,f52]) ).

fof(f49,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | connection(inc(X4),in2(h1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_inc_in2h1) ).

fof(f182,plain,
    ( one(in2(or1(h1(f))))
    | ~ one(in2(h1(f))) ),
    inference(resolution,[],[f122,f2]) ).

fof(f122,plain,
    connection(in2(h1(f)),in2(or1(h1(f)))),
    inference(resolution,[],[f33,f68]) ).

fof(f33,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(in2(X4),in2(or1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_in2_in2or1) ).

fof(f275,plain,
    ( one(in1(and1(h1(f))))
    | ~ one(out1(or1(h1(f)))) ),
    inference(resolution,[],[f205,f2]) ).

fof(f205,plain,
    connection(out1(or1(h1(f))),in1(and1(h1(f)))),
    inference(resolution,[],[f38,f68]) ).

fof(f38,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(out1(or1(X4)),in1(and1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1or1_in1_and1) ).

fof(f292,plain,
    ( ~ one(in2(and1(h1(f))))
    | ~ one(in1(and1(h1(f))))
    | one(out1(and1(h1(f)))) ),
    inference(resolution,[],[f8,f85]) ).

fof(f85,plain,
    and_ok(and1(h1(f))),
    inference(subsumption_resolution,[],[f81,f64]) ).

fof(f64,axiom,
    ~ abnormal(and1(h1(f))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and1h1) ).

fof(f81,plain,
    ( and_ok(and1(h1(f)))
    | abnormal(and1(h1(f))) ),
    inference(resolution,[],[f13,f72]) ).

fof(f72,plain,
    logic_and(and1(h1(f))),
    inference(resolution,[],[f68,f28]) ).

fof(f28,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | logic_and(and1(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_and1) ).

fof(f307,plain,
    one(in2(and1(h1(f)))),
    inference(subsumption_resolution,[],[f304,f289]) ).

fof(f289,plain,
    one(out1(not1(h1(f)))),
    inference(resolution,[],[f288,f116]) ).

fof(f116,plain,
    ( ~ zero(in1(not1(h1(f))))
    | one(out1(not1(h1(f)))) ),
    inference(resolution,[],[f22,f92]) ).

fof(f92,plain,
    not_ok(not1(h1(f))),
    inference(subsumption_resolution,[],[f90,f62]) ).

fof(f62,axiom,
    ~ abnormal(not1(h1(f))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_not1h1) ).

fof(f90,plain,
    ( not_ok(not1(h1(f)))
    | abnormal(not1(h1(f))) ),
    inference(resolution,[],[f27,f70]) ).

fof(f70,plain,
    logic_not(not1(h1(f))),
    inference(resolution,[],[f68,f30]) ).

fof(f30,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | logic_not(not1(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_not1) ).

fof(f27,axiom,
    ! [X3] :
      ( ~ logic_not(X3)
      | not_ok(X3)
      | abnormal(X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_ok_or_abnormal) ).

fof(f22,axiom,
    ! [X3] :
      ( ~ not_ok(X3)
      | ~ zero(in1(X3))
      | one(out1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_0_1_fw) ).

fof(f288,plain,
    zero(in1(not1(h1(f)))),
    inference(subsumption_resolution,[],[f287,f198]) ).

fof(f198,plain,
    zero(out1(and2(h1(f)))),
    inference(resolution,[],[f197,f96]) ).

fof(f96,plain,
    ( ~ zero(in1(and2(h1(f))))
    | zero(out1(and2(h1(f)))) ),
    inference(resolution,[],[f6,f83]) ).

fof(f83,plain,
    and_ok(and2(h1(f))),
    inference(subsumption_resolution,[],[f79,f63]) ).

fof(f63,axiom,
    ~ abnormal(and2(h1(f))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).

fof(f79,plain,
    ( and_ok(and2(h1(f)))
    | abnormal(and2(h1(f))) ),
    inference(resolution,[],[f13,f71]) ).

fof(f71,plain,
    logic_and(and2(h1(f))),
    inference(resolution,[],[f68,f29]) ).

fof(f6,axiom,
    ! [X3] :
      ( ~ and_ok(X3)
      | ~ zero(in1(X3))
      | zero(out1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_0x_0) ).

fof(f197,plain,
    zero(in1(and2(h1(f)))),
    inference(subsumption_resolution,[],[f196,f145]) ).

fof(f145,plain,
    zero(in1(h1(f))),
    inference(subsumption_resolution,[],[f144,f54]) ).

fof(f54,axiom,
    zero(in2(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).

fof(f144,plain,
    ( zero(in1(h1(f)))
    | ~ zero(in2(f)) ),
    inference(resolution,[],[f140,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ connection(X0,X1)
      | zero(X1)
      | ~ zero(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_zero1) ).

fof(f140,plain,
    connection(in2(f),in1(h1(f))),
    inference(resolution,[],[f48,f52]) ).

fof(f48,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | connection(in2(X4),in1(h1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_in2_in1h1) ).

fof(f196,plain,
    ( zero(in1(and2(h1(f))))
    | ~ zero(in1(h1(f))) ),
    inference(resolution,[],[f124,f1]) ).

fof(f124,plain,
    connection(in1(h1(f)),in1(and2(h1(f)))),
    inference(resolution,[],[f34,f68]) ).

fof(f287,plain,
    ( zero(in1(not1(h1(f))))
    | ~ zero(out1(and2(h1(f)))) ),
    inference(resolution,[],[f253,f1]) ).

fof(f253,plain,
    connection(out1(and2(h1(f))),in1(not1(h1(f)))),
    inference(resolution,[],[f39,f68]) ).

fof(f39,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(out1(and2(X4)),in1(not1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1and2_in1not1) ).

fof(f304,plain,
    ( one(in2(and1(h1(f))))
    | ~ one(out1(not1(h1(f)))) ),
    inference(resolution,[],[f255,f2]) ).

fof(f255,plain,
    connection(out1(not1(h1(f))),in2(and1(h1(f)))),
    inference(resolution,[],[f40,f68]) ).

fof(f40,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(out1(not1(X4)),in2(and1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_out1not1_in2and1) ).

fof(f219,plain,
    ( one(outs(h1(f)))
    | ~ one(out1(and1(h1(f)))) ),
    inference(resolution,[],[f128,f4]) ).

fof(f4,axiom,
    ! [X0,X1] :
      ( ~ connection(X0,X1)
      | one(X0)
      | ~ one(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_one2) ).

fof(f128,plain,
    connection(outs(h1(f)),out1(and1(h1(f)))),
    inference(resolution,[],[f36,f68]) ).

fof(f36,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(outs(X4),out1(and1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outs_out1and1) ).

fof(f235,plain,
    ( one(outc(h2(f)))
    | ~ one(out1(and2(h2(f)))) ),
    inference(resolution,[],[f131,f4]) ).

fof(f131,plain,
    connection(outc(h2(f)),out1(and2(h2(f)))),
    inference(resolution,[],[f37,f73]) ).

fof(f37,axiom,
    ! [X4] :
      ( ~ halfadder(X4)
      | connection(outc(X4),out1(and2(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',halfadder_connection_outc_out1and2) ).

fof(f372,plain,
    ( zero(in1(or1(f)))
    | abnormal(or1(f)) ),
    inference(subsumption_resolution,[],[f113,f167]) ).

fof(f167,plain,
    zero(out1(or1(f))),
    inference(subsumption_resolution,[],[f166,f57]) ).

fof(f57,axiom,
    zero(outc(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).

fof(f166,plain,
    ( zero(out1(or1(f)))
    | ~ zero(outc(f)) ),
    inference(resolution,[],[f162,f1]) ).

fof(f162,plain,
    connection(outc(f),out1(or1(f))),
    inference(resolution,[],[f51,f52]) ).

fof(f51,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | connection(outc(X4),out1(or1(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outc_out1or1) ).

fof(f113,plain,
    ( ~ zero(out1(or1(f)))
    | zero(in1(or1(f)))
    | abnormal(or1(f)) ),
    inference(resolution,[],[f18,f88]) ).

fof(f88,plain,
    ( or_ok(or1(f))
    | abnormal(or1(f)) ),
    inference(resolution,[],[f21,f78]) ).

fof(f78,plain,
    logic_or(or1(f)),
    inference(resolution,[],[f43,f52]) ).

fof(f43,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | logic_or(or1(X4)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_or1) ).

fof(f18,axiom,
    ! [X3] :
      ( ~ or_ok(X3)
      | ~ zero(out1(X3))
      | zero(in1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or_0_0x) ).

fof(f396,plain,
    ~ abnormal(or1(f)),
    inference(resolution,[],[f395,f58]) ).

fof(f58,axiom,
    ( ~ abnormal(not1(h2(f)))
    | ~ abnormal(or1(f)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).

fof(f395,plain,
    abnormal(not1(h2(f))),
    inference(subsumption_resolution,[],[f394,f345]) ).

fof(f345,plain,
    ~ zero(in1(not1(h2(f)))),
    inference(subsumption_resolution,[],[f299,f335]) ).

fof(f335,plain,
    ~ zero(out1(and2(h2(f)))),
    inference(resolution,[],[f329,f5]) ).

fof(f299,plain,
    ( zero(out1(and2(h2(f))))
    | ~ zero(in1(not1(h2(f)))) ),
    inference(resolution,[],[f254,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ connection(X0,X1)
      | zero(X0)
      | ~ zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',value_propagation_zero2) ).

fof(f254,plain,
    connection(out1(and2(h2(f))),in1(not1(h2(f)))),
    inference(resolution,[],[f39,f73]) ).

fof(f394,plain,
    ( abnormal(not1(h2(f)))
    | zero(in1(not1(h2(f)))) ),
    inference(subsumption_resolution,[],[f248,f386]) ).

fof(f386,plain,
    one(out1(not1(h2(f)))),
    inference(resolution,[],[f382,f313]) ).

fof(f313,plain,
    ( ~ one(in2(and1(h2(f))))
    | one(out1(not1(h2(f)))) ),
    inference(resolution,[],[f256,f4]) ).

fof(f256,plain,
    connection(out1(not1(h2(f))),in2(and1(h2(f)))),
    inference(resolution,[],[f40,f73]) ).

fof(f382,plain,
    one(in2(and1(h2(f)))),
    inference(subsumption_resolution,[],[f378,f228]) ).

fof(f228,plain,
    one(out1(and1(h2(f)))),
    inference(subsumption_resolution,[],[f225,f160]) ).

fof(f160,plain,
    one(outs(h2(f))),
    inference(subsumption_resolution,[],[f157,f56]) ).

fof(f56,axiom,
    one(outs(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).

fof(f157,plain,
    ( one(outs(h2(f)))
    | ~ one(outs(f)) ),
    inference(resolution,[],[f154,f2]) ).

fof(f154,plain,
    connection(outs(f),outs(h2(f))),
    inference(resolution,[],[f50,f52]) ).

fof(f50,axiom,
    ! [X4] :
      ( ~ fulladder(X4)
      | connection(outs(X4),outs(h2(X4))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fulladder_connection_outs_outsh2) ).

fof(f225,plain,
    ( one(out1(and1(h2(f))))
    | ~ one(outs(h2(f))) ),
    inference(resolution,[],[f129,f2]) ).

fof(f129,plain,
    connection(outs(h2(f)),out1(and1(h2(f)))),
    inference(resolution,[],[f36,f73]) ).

fof(f378,plain,
    ( ~ one(out1(and1(h2(f))))
    | one(in2(and1(h2(f)))) ),
    inference(resolution,[],[f374,f11]) ).

fof(f11,axiom,
    ! [X3] :
      ( ~ and_ok(X3)
      | ~ one(out1(X3))
      | one(in2(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',and_1_x1) ).

fof(f374,plain,
    and_ok(and1(h2(f))),
    inference(resolution,[],[f373,f239]) ).

fof(f239,plain,
    ( ~ abnormal(or1(f))
    | and_ok(and1(h2(f))) ),
    inference(resolution,[],[f82,f60]) ).

fof(f60,axiom,
    ( ~ abnormal(and1(h2(f)))
    | ~ abnormal(or1(f)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).

fof(f82,plain,
    ( abnormal(and1(h2(f)))
    | and_ok(and1(h2(f))) ),
    inference(resolution,[],[f13,f77]) ).

fof(f77,plain,
    logic_and(and1(h2(f))),
    inference(resolution,[],[f73,f28]) ).

fof(f248,plain,
    ( abnormal(not1(h2(f)))
    | ~ one(out1(not1(h2(f))))
    | zero(in1(not1(h2(f)))) ),
    inference(resolution,[],[f91,f25]) ).

fof(f25,axiom,
    ! [X3] :
      ( ~ not_ok(X3)
      | ~ one(out1(X3))
      | zero(in1(X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_1_0_bw) ).

fof(f91,plain,
    ( not_ok(not1(h2(f)))
    | abnormal(not1(h2(f))) ),
    inference(resolution,[],[f27,f75]) ).

fof(f75,plain,
    logic_not(not1(h2(f))),
    inference(resolution,[],[f73,f30]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : HWV006-2 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n025.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   : Sun May 19 10:40:38 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (10975)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (10978)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38  % (10977)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  % (10981)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38  % (10980)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38  % (10979)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.38  % (10982)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38  % (10983)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [2]
% 0.15/0.39  % (10981)First to succeed.
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  TRYING [3]
% 0.15/0.39  % (10981)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-10975"
% 0.15/0.39  % (10981)Refutation found. Thanks to Tanya!
% 0.15/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.39  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39  % (10981)------------------------------
% 0.15/0.39  % (10981)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39  % (10981)Termination reason: Refutation
% 0.15/0.39  
% 0.15/0.39  % (10981)Memory used [KB]: 898
% 0.15/0.39  % (10981)Time elapsed: 0.010 s
% 0.15/0.39  % (10981)Instructions burned: 16 (million)
% 0.15/0.39  % (10975)Success in time 0.017 s
%------------------------------------------------------------------------------