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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n017.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:39:54 PM UTC 2026

% Result   : Unsatisfiable 2.07s 1.29s
% Output   : CNFRefutation 2.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :   54
% Syntax   : Number of formulae    :  235 (  77 unt;   8 def)
%            Number of atoms       :  663 (   8 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  422 ( 215   ~; 207   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  13 con; 0-2 aty)
%            Number of variables   :  104 (   0 sgn 104   !;   0   ?;  61   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X2,X0,X1] :
      ( value(X1,X2)
      | ~ value(X0,X2)
      | ~ connection(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).

fof(f2,axiom,
    ! [X2,X0,X1] :
      ( value(X0,X2)
      | ~ value(X1,X2)
      | ~ connection(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( equal_value(X1,X2)
      | ~ value(X0,X2)
      | ~ value(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',unique_value) ).

fof(f4,axiom,
    ~ equal_value(n0,n1),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',equal_value1) ).

fof(f7,axiom,
    ! [X0,X1] :
      ( mode(X0,abnormal)
      | mode(X0,ok)
      | ~ type(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',ok_or_abnormal) ).

fof(f8,axiom,
    ! [X0,X1] :
      ( value(out(n1,X0),n0)
      | ~ value(in(X1,X0),n0)
      | ~ type(X0,and)
      | ~ mode(X0,ok) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_0x_0) ).

fof(f9,axiom,
    ! [X0] :
      ( value(out(n1,X0),n1)
      | ~ value(in(n2,X0),n1)
      | ~ value(in(n1,X0),n1)
      | ~ type(X0,and)
      | ~ mode(X0,ok) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_11_1) ).

fof(f11,axiom,
    ! [X0] :
      ( value(in(n1,X0),n1)
      | ~ value(out(n1,X0),n1)
      | ~ type(X0,and)
      | ~ mode(X0,ok) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',and_1_1x) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( value(out(n1,X0),n1)
      | ~ value(in(X1,X0),n1)
      | ~ type(X0,or)
      | ~ mode(X0,ok) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_1x_1) ).

fof(f15,axiom,
    ! [X0] :
      ( value(in(n2,X0),n1)
      | value(in(n1,X0),n1)
      | ~ value(out(n1,X0),n1)
      | ~ type(X0,or)
      | ~ mode(X0,ok) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_1_11) ).

fof(f17,axiom,
    ! [X0] :
      ( value(in(n2,X0),n0)
      | ~ value(out(n1,X0),n0)
      | ~ type(X0,or)
      | ~ mode(X0,ok) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',or_0_01) ).

fof(f19,axiom,
    ! [X0] :
      ( value(out(n1,X0),n0)
      | ~ value(in(n1,X0),n1)
      | ~ type(X0,not)
      | ~ mode(X0,ok) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-0.ax',not_1_0_fw) ).

fof(f22,axiom,
    ! [X0] :
      ( type(and1(X0),and)
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_and1) ).

fof(f23,axiom,
    ! [X0] :
      ( type(and2(X0),and)
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).

fof(f24,axiom,
    ! [X0] :
      ( type(not1(X0),not)
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_not1) ).

fof(f25,axiom,
    ! [X0] :
      ( type(or1(X0),or)
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_or1) ).

fof(f26,axiom,
    ! [X0] :
      ( connection(in(n1,X0),in(n1,or1(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1or1) ).

fof(f27,axiom,
    ! [X0] :
      ( connection(in(n2,X0),in(n2,or1(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2or1) ).

fof(f28,axiom,
    ! [X0] :
      ( connection(in(n1,X0),in(n1,and2(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1and2) ).

fof(f29,axiom,
    ! [X0] :
      ( connection(in(n2,X0),in(n2,and2(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2and2) ).

fof(f30,axiom,
    ! [X0] :
      ( connection(out(s,X0),out(n1,and1(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outs_out1and1) ).

fof(f31,axiom,
    ! [X0] :
      ( connection(out(c,X0),out(n1,and2(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outc_out1and2) ).

fof(f32,axiom,
    ! [X0] :
      ( connection(out(n1,or1(X0)),in(n1,and1(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1or1_in1_and1) ).

fof(f33,axiom,
    ! [X0] :
      ( connection(out(n1,and2(X0)),in(n1,not1(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1and2_in1not1) ).

fof(f34,axiom,
    ! [X0] :
      ( connection(out(n1,not1(X0)),in(n2,and1(X0)))
      | ~ type(X0,halfadder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1not1_in2and1) ).

fof(f35,axiom,
    ! [X0] :
      ( type(h1(X0),halfadder)
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).

fof(f36,axiom,
    ! [X0] :
      ( type(h2(X0),halfadder)
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder2) ).

fof(f37,axiom,
    ! [X0] :
      ( type(or1(X0),or)
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).

fof(f38,axiom,
    ! [X0] :
      ( connection(out(s,h1(X0)),in(n2,h2(X0)))
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outsh1_in2h2) ).

fof(f39,axiom,
    ! [X0] :
      ( connection(out(c,h1(X0)),in(n2,or1(X0)))
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch1_in2or1) ).

fof(f41,axiom,
    ! [X0] :
      ( connection(in(n1,X0),in(n1,h2(X0)))
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in1_in1h2) ).

fof(f42,axiom,
    ! [X0] :
      ( connection(in(n2,X0),in(n1,h1(X0)))
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in2_in1h1) ).

fof(f43,axiom,
    ! [X0] :
      ( connection(in(c,X0),in(n2,h1(X0)))
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_inc_in2h1) ).

fof(f44,axiom,
    ! [X0] :
      ( connection(out(s,X0),out(s,h2(X0)))
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outs_outsh2) ).

fof(f45,axiom,
    ! [X0] :
      ( connection(out(c,X0),out(n1,or1(X0)))
      | ~ type(X0,fulladder) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outc_out1or1) ).

fof(f46,axiom,
    type(f,fulladder),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).

fof(f47,axiom,
    value(in(n1,f),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).

fof(f48,axiom,
    value(in(n2,f),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).

fof(f49,axiom,
    value(in(c,f),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).

fof(f50,axiom,
    value(out(s,f),n1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).

fof(f51,axiom,
    value(out(c,f),n0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).

fof(f52,negated_conjecture,
    ~ mode(and2(h1(f)),abnormal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1) ).

fof(f53,negated_conjecture,
    ( ~ mode(and1(h1(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h1) ).

fof(f54,negated_conjecture,
    ( ~ mode(not1(h1(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_not1h1) ).

fof(f55,negated_conjecture,
    ( ~ mode(and1(h2(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).

fof(f56,negated_conjecture,
    ( ~ mode(or1(h2(f)),abnormal)
    | ~ mode(or1(f),abnormal) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1_or1h2) ).

tcf(c_105,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( value(X2,X1)
      | ~ connection(X0,X2)
      | ~ value(X0,X1) ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( value(X2,X1)
      | ~ connection(X2,X0)
      | ~ value(X0,X1) ),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( equal_value(X1,X2)
      | ~ value(X0,X2)
      | ~ value(X0,X1) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_108,plain,
    ~ equal_value(n0,n1),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_111,plain,
    ! [X0: $i,X1: $i] :
      ( mode(X0,ok)
      | mode(X0,abnormal)
      | ~ type(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_112,plain,
    ! [X0: $i,X1: $i] :
      ( value(out(n1,X1),n0)
      | ~ mode(X1,ok)
      | ~ type(X1,and)
      | ~ value(in(X0,X1),n0) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_113,plain,
    ! [X0: $i] :
      ( value(out(n1,X0),n1)
      | ~ mode(X0,ok)
      | ~ type(X0,and)
      | ~ value(in(n2,X0),n1)
      | ~ value(in(n1,X0),n1) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_115,plain,
    ! [X0: $i] :
      ( value(in(n1,X0),n1)
      | ~ mode(X0,ok)
      | ~ type(X0,and)
      | ~ value(out(n1,X0),n1) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_117,plain,
    ! [X0: $i,X1: $i] :
      ( value(out(n1,X1),n1)
      | ~ mode(X1,ok)
      | ~ type(X1,or)
      | ~ value(in(X0,X1),n1) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_119,plain,
    ! [X0: $i] :
      ( value(in(n2,X0),n1)
      | value(in(n1,X0),n1)
      | ~ mode(X0,ok)
      | ~ type(X0,or)
      | ~ value(out(n1,X0),n1) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_121,plain,
    ! [X0: $i] :
      ( value(in(n2,X0),n0)
      | ~ mode(X0,ok)
      | ~ type(X0,or)
      | ~ value(out(n1,X0),n0) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_123,plain,
    ! [X0: $i] :
      ( value(out(n1,X0),n0)
      | ~ mode(X0,ok)
      | ~ type(X0,not)
      | ~ value(in(n1,X0),n1) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_126,plain,
    ! [X0: $i] :
      ( type(and1(X0),and)
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_127,plain,
    ! [X0: $i] :
      ( type(and2(X0),and)
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_128,plain,
    ! [X0: $i] :
      ( type(not1(X0),not)
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_129,plain,
    ! [X0: $i] :
      ( type(or1(X0),or)
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_130,plain,
    ! [X0: $i] :
      ( connection(in(n1,X0),in(n1,or1(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_131,plain,
    ! [X0: $i] :
      ( connection(in(n2,X0),in(n2,or1(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_132,plain,
    ! [X0: $i] :
      ( connection(in(n1,X0),in(n1,and2(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_133,plain,
    ! [X0: $i] :
      ( connection(in(n2,X0),in(n2,and2(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_134,plain,
    ! [X0: $i] :
      ( connection(out(s,X0),out(n1,and1(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_135,plain,
    ! [X0: $i] :
      ( connection(out(c,X0),out(n1,and2(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_136,plain,
    ! [X0: $i] :
      ( connection(out(n1,or1(X0)),in(n1,and1(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_137,plain,
    ! [X0: $i] :
      ( connection(out(n1,and2(X0)),in(n1,not1(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_138,plain,
    ! [X0: $i] :
      ( connection(out(n1,not1(X0)),in(n2,and1(X0)))
      | ~ type(X0,halfadder) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_139,plain,
    ! [X0: $i] :
      ( type(h1(X0),halfadder)
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_140,plain,
    ! [X0: $i] :
      ( type(h2(X0),halfadder)
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_141,plain,
    ! [X0: $i] :
      ( type(or1(X0),or)
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_142,plain,
    ! [X0: $i] :
      ( connection(out(s,h1(X0)),in(n2,h2(X0)))
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_143,plain,
    ! [X0: $i] :
      ( connection(out(c,h1(X0)),in(n2,or1(X0)))
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_145,plain,
    ! [X0: $i] :
      ( connection(in(n1,X0),in(n1,h2(X0)))
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_146,plain,
    ! [X0: $i] :
      ( connection(in(n2,X0),in(n1,h1(X0)))
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_147,plain,
    ! [X0: $i] :
      ( connection(in(c,X0),in(n2,h1(X0)))
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_148,plain,
    ! [X0: $i] :
      ( connection(out(s,X0),out(s,h2(X0)))
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_149,plain,
    ! [X0: $i] :
      ( connection(out(c,X0),out(n1,or1(X0)))
      | ~ type(X0,fulladder) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_150,plain,
    type(f,fulladder),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_151,plain,
    value(in(n1,f),n0),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_152,plain,
    value(in(n2,f),n1),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_153,plain,
    value(in(c,f),n1),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_154,plain,
    value(out(s,f),n1),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_155,plain,
    value(out(c,f),n0),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_156,negated_conjecture,
    ~ mode(and2(h1(f)),abnormal),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_157,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(and1(h1(f)),abnormal) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_158,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(not1(h1(f)),abnormal) ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_159,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(and1(h2(f)),abnormal) ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_160,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(or1(h2(f)),abnormal) ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_480,plain,
    ! [X0: $i] :
      ( ~ value(X0,n0)
      | ~ value(X0,n1) ),
    inference(resolution,[status(thm)],[c_107,c_108]) ).

tcf(c_1681,definition,
    iPr_def_10 = h2(f),
    introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).

tcf(c_1682,definition,
    iPr_def_11 = or1(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).

tcf(c_1683,definition,
    iPr_def_12 = or1(f),
    introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).

tcf(c_1684,definition,
    iPr_def_13 = and1(iPr_def_10),
    introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).

tcf(c_1685,definition,
    iPr_def_14 = h1(f),
    introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).

tcf(c_1686,definition,
    iPr_def_15 = not1(iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).

tcf(c_1687,definition,
    iPr_def_16 = and1(iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).

tcf(c_1688,definition,
    iPr_def_17 = and2(iPr_def_14),
    introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).

tcf(c_1689,negated_conjecture,
    ( ~ mode(iPr_def_12,abnormal)
    | ~ mode(iPr_def_11,abnormal) ),
    inference(demodulation,[status(thm)],[c_160,c_1683,c_1681,c_1682]) ).

tcf(c_1690,negated_conjecture,
    ( ~ mode(iPr_def_13,abnormal)
    | ~ mode(iPr_def_12,abnormal) ),
    inference(demodulation,[status(thm)],[c_159,c_1684]) ).

tcf(c_1691,negated_conjecture,
    ( ~ mode(iPr_def_15,abnormal)
    | ~ mode(iPr_def_12,abnormal) ),
    inference(demodulation,[status(thm)],[c_158,c_1685,c_1686]) ).

tcf(c_1692,negated_conjecture,
    ( ~ mode(iPr_def_16,abnormal)
    | ~ mode(iPr_def_12,abnormal) ),
    inference(demodulation,[status(thm)],[c_157,c_1687]) ).

tcf(c_1693,negated_conjecture,
    ~ mode(iPr_def_17,abnormal),
    inference(demodulation,[status(thm)],[c_156,c_1688]) ).

tcf(c_2471,plain,
    ( type(iPr_def_13,and)
    | ~ type(iPr_def_10,halfadder) ),
    inference(superposition,[status(thm)],[c_1684,c_126]) ).

tcf(c_2472,plain,
    ( type(iPr_def_16,and)
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1687,c_126]) ).

tcf(c_2489,plain,
    ( type(iPr_def_17,and)
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1688,c_127]) ).

tcf(c_2519,plain,
    ( type(iPr_def_15,not)
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1686,c_128]) ).

tcf(c_2532,plain,
    ( type(iPr_def_11,or)
    | ~ type(iPr_def_10,halfadder) ),
    inference(superposition,[status(thm)],[c_1682,c_129]) ).

tcf(c_2546,plain,
    ( type(iPr_def_14,halfadder)
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_1685,c_139]) ).

tcf(c_2548,plain,
    type(iPr_def_14,halfadder),
    inference(forward_subsumption_resolution,[status(thm)],[c_2546,c_150]) ).

tcf(c_2552,plain,
    type(iPr_def_17,and),
    inference(backward_subsumption_resolution,[status(thm)],[c_2489,c_2548]) ).

tcf(c_2553,plain,
    type(iPr_def_16,and),
    inference(backward_subsumption_resolution,[status(thm)],[c_2472,c_2548]) ).

tcf(c_2559,plain,
    ( type(iPr_def_10,halfadder)
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_1681,c_140]) ).

tcf(c_2561,plain,
    type(iPr_def_10,halfadder),
    inference(forward_subsumption_resolution,[status(thm)],[c_2559,c_150]) ).

tcf(c_2565,plain,
    type(iPr_def_13,and),
    inference(backward_subsumption_resolution,[status(thm)],[c_2471,c_2561]) ).

tcf(c_2570,plain,
    ( mode(iPr_def_17,ok)
    | mode(iPr_def_17,abnormal) ),
    inference(superposition,[status(thm)],[c_2552,c_111]) ).

tcf(c_2571,plain,
    mode(iPr_def_17,ok),
    inference(forward_subsumption_resolution,[status(thm)],[c_2570,c_1693]) ).

tcf(c_2572,plain,
    ( mode(iPr_def_16,ok)
    | mode(iPr_def_16,abnormal) ),
    inference(superposition,[status(thm)],[c_2553,c_111]) ).

tcf(c_2578,plain,
    ( mode(iPr_def_13,ok)
    | mode(iPr_def_13,abnormal) ),
    inference(superposition,[status(thm)],[c_2565,c_111]) ).

tcf(c_2606,plain,
    type(iPr_def_15,not),
    inference(global_subsumption_just,[status(thm)],[c_2519,c_2519,c_2548]) ).

tcf(c_2608,plain,
    ( mode(iPr_def_15,ok)
    | mode(iPr_def_15,abnormal) ),
    inference(superposition,[status(thm)],[c_2606,c_111]) ).

tcf(c_2620,plain,
    ( type(iPr_def_12,or)
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_1683,c_141]) ).

tcf(c_2625,plain,
    type(iPr_def_12,or),
    inference(forward_subsumption_resolution,[status(thm)],[c_2620,c_150]) ).

tcf(c_2636,plain,
    ! [X0: $i] :
      ( value(X0,n0)
      | ~ connection(in(n1,f),X0) ),
    inference(superposition,[status(thm)],[c_151,c_105]) ).

tcf(c_2637,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(in(n2,f),X0) ),
    inference(superposition,[status(thm)],[c_152,c_105]) ).

tcf(c_2638,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(in(c,f),X0) ),
    inference(superposition,[status(thm)],[c_153,c_105]) ).

tcf(c_2639,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(out(s,f),X0) ),
    inference(superposition,[status(thm)],[c_154,c_105]) ).

tcf(c_2640,plain,
    ! [X0: $i] :
      ( value(X0,n0)
      | ~ connection(out(c,f),X0) ),
    inference(superposition,[status(thm)],[c_155,c_105]) ).

tcf(c_2687,plain,
    ( connection(in(n1,iPr_def_10),in(n1,iPr_def_11))
    | ~ type(iPr_def_10,halfadder) ),
    inference(superposition,[status(thm)],[c_1682,c_130]) ).

tcf(c_2688,plain,
    connection(in(n1,iPr_def_10),in(n1,iPr_def_11)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2687,c_2561]) ).

tcf(c_2691,plain,
    ( mode(iPr_def_12,ok)
    | mode(iPr_def_12,abnormal) ),
    inference(superposition,[status(thm)],[c_2625,c_111]) ).

tcf(c_2699,plain,
    ( mode(iPr_def_12,ok)
    | ~ mode(iPr_def_16,abnormal) ),
    inference(superposition,[status(thm)],[c_2691,c_1692]) ).

tcf(c_2700,plain,
    ( mode(iPr_def_12,ok)
    | ~ mode(iPr_def_15,abnormal) ),
    inference(superposition,[status(thm)],[c_2691,c_1691]) ).

tcf(c_2701,plain,
    ( mode(iPr_def_12,ok)
    | ~ mode(iPr_def_13,abnormal) ),
    inference(superposition,[status(thm)],[c_2691,c_1690]) ).

tcf(c_2710,plain,
    type(iPr_def_11,or),
    inference(global_subsumption_just,[status(thm)],[c_2532,c_2532,c_2561]) ).

tcf(c_2712,plain,
    ( mode(iPr_def_11,ok)
    | mode(iPr_def_11,abnormal) ),
    inference(superposition,[status(thm)],[c_2710,c_111]) ).

tcf(c_2719,plain,
    ( mode(iPr_def_16,ok)
    | mode(iPr_def_12,ok) ),
    inference(superposition,[status(thm)],[c_2572,c_2699]) ).

tcf(c_2726,plain,
    ( mode(iPr_def_15,ok)
    | mode(iPr_def_12,ok) ),
    inference(superposition,[status(thm)],[c_2608,c_2700]) ).

tcf(c_2733,plain,
    ( mode(iPr_def_13,ok)
    | mode(iPr_def_12,ok) ),
    inference(superposition,[status(thm)],[c_2578,c_2701]) ).

tcf(c_2753,plain,
    ( mode(iPr_def_11,ok)
    | ~ mode(iPr_def_12,abnormal) ),
    inference(superposition,[status(thm)],[c_2712,c_1689]) ).

tcf(c_2760,plain,
    ( mode(iPr_def_12,ok)
    | mode(iPr_def_11,ok) ),
    inference(superposition,[status(thm)],[c_2691,c_2753]) ).

tcf(c_2772,plain,
    ( connection(in(n2,iPr_def_10),in(n2,iPr_def_11))
    | ~ type(iPr_def_10,halfadder) ),
    inference(superposition,[status(thm)],[c_1682,c_131]) ).

tcf(c_2773,plain,
    connection(in(n2,iPr_def_10),in(n2,iPr_def_11)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2772,c_2561]) ).

tcf(c_2780,plain,
    ( connection(in(n1,iPr_def_14),in(n1,iPr_def_17))
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1688,c_132]) ).

tcf(c_2781,plain,
    connection(in(n1,iPr_def_14),in(n1,iPr_def_17)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2780,c_2548]) ).

tcf(c_2786,plain,
    ( connection(in(n2,iPr_def_14),in(n2,iPr_def_17))
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1688,c_133]) ).

tcf(c_2787,plain,
    connection(in(n2,iPr_def_14),in(n2,iPr_def_17)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2786,c_2548]) ).

tcf(c_2792,plain,
    ( connection(out(s,iPr_def_10),out(n1,iPr_def_13))
    | ~ type(iPr_def_10,halfadder) ),
    inference(superposition,[status(thm)],[c_1684,c_134]) ).

tcf(c_2793,plain,
    ( connection(out(s,iPr_def_14),out(n1,iPr_def_16))
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1687,c_134]) ).

tcf(c_2794,plain,
    connection(out(s,iPr_def_14),out(n1,iPr_def_16)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2793,c_2548]) ).

tcf(c_2795,plain,
    connection(out(s,iPr_def_10),out(n1,iPr_def_13)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2792,c_2561]) ).

tcf(c_2842,plain,
    ( connection(out(c,iPr_def_14),out(n1,iPr_def_17))
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1688,c_135]) ).

tcf(c_2843,plain,
    connection(out(c,iPr_def_14),out(n1,iPr_def_17)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2842,c_2548]) ).

tcf(c_2849,plain,
    ( value(in(n1,h2(f)),n0)
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_145,c_2636]) ).

tcf(c_2850,plain,
    ( value(in(n1,iPr_def_10),n0)
    | ~ type(f,fulladder) ),
    inference(light_normalisation,[status(thm)],[c_2849,c_1681]) ).

tcf(c_2851,plain,
    value(in(n1,iPr_def_10),n0),
    inference(forward_subsumption_resolution,[status(thm)],[c_2850,c_150]) ).

tcf(c_2858,plain,
    ( value(in(n1,h1(f)),n1)
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_146,c_2637]) ).

tcf(c_2859,plain,
    ( value(in(n1,iPr_def_14),n1)
    | ~ type(f,fulladder) ),
    inference(light_normalisation,[status(thm)],[c_2858,c_1685]) ).

tcf(c_2860,plain,
    value(in(n1,iPr_def_14),n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_2859,c_150]) ).

tcf(c_2866,plain,
    ( connection(in(c,f),in(n2,iPr_def_14))
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_1685,c_147]) ).

tcf(c_2867,plain,
    connection(in(c,f),in(n2,iPr_def_14)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2866,c_150]) ).

tcf(c_2869,plain,
    ! [X0: $i] :
      ( value(X0,n0)
      | ~ connection(in(n1,iPr_def_10),X0) ),
    inference(superposition,[status(thm)],[c_2851,c_105]) ).

tcf(c_2885,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(in(n1,iPr_def_14),X0) ),
    inference(superposition,[status(thm)],[c_2860,c_105]) ).

tcf(c_2901,plain,
    value(in(n2,iPr_def_14),n1),
    inference(superposition,[status(thm)],[c_2867,c_2638]) ).

tcf(c_2905,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(in(n2,iPr_def_14),X0) ),
    inference(superposition,[status(thm)],[c_2901,c_105]) ).

tcf(c_2953,plain,
    ( value(out(s,h2(f)),n1)
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_148,c_2639]) ).

tcf(c_2954,plain,
    ( value(out(s,iPr_def_10),n1)
    | ~ type(f,fulladder) ),
    inference(light_normalisation,[status(thm)],[c_2953,c_1681]) ).

tcf(c_2955,plain,
    value(out(s,iPr_def_10),n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_2954,c_150]) ).

tcf(c_2964,plain,
    ( value(out(n1,or1(f)),n0)
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_149,c_2640]) ).

tcf(c_2965,plain,
    ( value(out(n1,iPr_def_12),n0)
    | ~ type(f,fulladder) ),
    inference(light_normalisation,[status(thm)],[c_2964,c_1683]) ).

tcf(c_2966,plain,
    value(out(n1,iPr_def_12),n0),
    inference(forward_subsumption_resolution,[status(thm)],[c_2965,c_150]) ).

tcf(c_2978,plain,
    ( connection(out(n1,or1(iPr_def_10)),in(n1,iPr_def_13))
    | ~ type(iPr_def_10,halfadder) ),
    inference(superposition,[status(thm)],[c_1684,c_136]) ).

tcf(c_2981,plain,
    ( connection(out(n1,iPr_def_11),in(n1,iPr_def_13))
    | ~ type(iPr_def_10,halfadder) ),
    inference(light_normalisation,[status(thm)],[c_2978,c_1682]) ).

tcf(c_2982,plain,
    connection(out(n1,iPr_def_11),in(n1,iPr_def_13)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2981,c_2561]) ).

tcf(c_2998,plain,
    ( connection(out(n1,and2(iPr_def_14)),in(n1,iPr_def_15))
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1686,c_137]) ).

tcf(c_2999,plain,
    ( connection(out(n1,iPr_def_17),in(n1,iPr_def_15))
    | ~ type(iPr_def_14,halfadder) ),
    inference(light_normalisation,[status(thm)],[c_2998,c_1688]) ).

tcf(c_3000,plain,
    connection(out(n1,iPr_def_17),in(n1,iPr_def_15)),
    inference(forward_subsumption_resolution,[status(thm)],[c_2999,c_2548]) ).

tcf(c_3004,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(out(s,iPr_def_10),X0) ),
    inference(superposition,[status(thm)],[c_2955,c_105]) ).

tcf(c_3013,plain,
    ~ value(out(n1,iPr_def_12),n1),
    inference(superposition,[status(thm)],[c_2966,c_480]) ).

tcf(c_3064,plain,
    ( connection(out(n1,not1(iPr_def_14)),in(n2,iPr_def_16))
    | ~ type(iPr_def_14,halfadder) ),
    inference(superposition,[status(thm)],[c_1687,c_138]) ).

tcf(c_3065,plain,
    ( connection(out(n1,iPr_def_15),in(n2,iPr_def_16))
    | ~ type(iPr_def_14,halfadder) ),
    inference(light_normalisation,[status(thm)],[c_3064,c_1686]) ).

tcf(c_3066,plain,
    connection(out(n1,iPr_def_15),in(n2,iPr_def_16)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3065,c_2548]) ).

tcf(c_3075,plain,
    ( connection(out(s,h1(f)),in(n2,iPr_def_10))
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_1681,c_142]) ).

tcf(c_3076,plain,
    ( connection(out(s,iPr_def_14),in(n2,iPr_def_10))
    | ~ type(f,fulladder) ),
    inference(light_normalisation,[status(thm)],[c_3075,c_1685]) ).

tcf(c_3077,plain,
    connection(out(s,iPr_def_14),in(n2,iPr_def_10)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3076,c_150]) ).

tcf(c_3085,plain,
    ( connection(out(c,h1(f)),in(n2,iPr_def_12))
    | ~ type(f,fulladder) ),
    inference(superposition,[status(thm)],[c_1683,c_143]) ).

tcf(c_3089,plain,
    ( connection(out(c,iPr_def_14),in(n2,iPr_def_12))
    | ~ type(f,fulladder) ),
    inference(light_normalisation,[status(thm)],[c_3085,c_1685]) ).

tcf(c_3090,plain,
    connection(out(c,iPr_def_14),in(n2,iPr_def_12)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3089,c_150]) ).

tcf(c_3162,plain,
    value(in(n1,iPr_def_11),n0),
    inference(superposition,[status(thm)],[c_2688,c_2869]) ).

tcf(c_3171,plain,
    ~ value(in(n1,iPr_def_11),n1),
    inference(superposition,[status(thm)],[c_3162,c_480]) ).

tcf(c_3271,plain,
    ( value(in(n2,iPr_def_12),n0)
    | ~ mode(iPr_def_12,ok)
    | ~ type(iPr_def_12,or) ),
    inference(superposition,[status(thm)],[c_2966,c_121]) ).

tcf(c_3272,plain,
    ( value(in(n2,iPr_def_12),n0)
    | ~ mode(iPr_def_12,ok) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3271,c_2625]) ).

tcf(c_3291,plain,
    value(in(n1,iPr_def_17),n1),
    inference(superposition,[status(thm)],[c_2781,c_2885]) ).

tcf(c_3299,plain,
    ( value(out(n1,iPr_def_17),n1)
    | ~ mode(iPr_def_17,ok)
    | ~ type(iPr_def_17,and)
    | ~ value(in(n2,iPr_def_17),n1) ),
    inference(superposition,[status(thm)],[c_3291,c_113]) ).

tcf(c_3308,plain,
    ( value(out(n1,iPr_def_17),n1)
    | ~ value(in(n2,iPr_def_17),n1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3299,c_2571,c_2552]) ).

tcf(c_3545,plain,
    value(in(n2,iPr_def_17),n1),
    inference(superposition,[status(thm)],[c_2787,c_2905]) ).

tcf(c_3551,plain,
    value(out(n1,iPr_def_17),n1),
    inference(backward_subsumption_resolution,[status(thm)],[c_3308,c_3545]) ).

tcf(c_3603,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(X0,out(n1,iPr_def_17)) ),
    inference(superposition,[status(thm)],[c_3551,c_106]) ).

tcf(c_3604,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(out(n1,iPr_def_17),X0) ),
    inference(superposition,[status(thm)],[c_3551,c_105]) ).

tcf(c_3651,plain,
    value(out(n1,iPr_def_13),n1),
    inference(superposition,[status(thm)],[c_2795,c_3004]) ).

tcf(c_3669,plain,
    ( value(in(n1,iPr_def_13),n1)
    | ~ mode(iPr_def_13,ok)
    | ~ type(iPr_def_13,and) ),
    inference(superposition,[status(thm)],[c_3651,c_115]) ).

tcf(c_3674,plain,
    ( value(in(n1,iPr_def_13),n1)
    | ~ mode(iPr_def_13,ok) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3669,c_2565]) ).

tcf(c_3772,plain,
    value(out(c,iPr_def_14),n1),
    inference(superposition,[status(thm)],[c_2843,c_3603]) ).

tcf(c_3777,plain,
    value(in(n1,iPr_def_15),n1),
    inference(superposition,[status(thm)],[c_3000,c_3604]) ).

tcf(c_3901,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(out(c,iPr_def_14),X0) ),
    inference(superposition,[status(thm)],[c_3772,c_105]) ).

tcf(c_3960,plain,
    ( ~ mode(iPr_def_12,ok)
    | ~ value(in(n2,iPr_def_12),n1) ),
    inference(superposition,[status(thm)],[c_3272,c_480]) ).

tcf(c_4006,plain,
    ( value(out(n1,iPr_def_15),n0)
    | ~ mode(iPr_def_15,ok)
    | ~ type(iPr_def_15,not) ),
    inference(superposition,[status(thm)],[c_3777,c_123]) ).

tcf(c_4016,plain,
    ( value(out(n1,iPr_def_15),n0)
    | ~ mode(iPr_def_15,ok) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4006,c_2606]) ).

tcf(c_4217,plain,
    value(in(n2,iPr_def_12),n1),
    inference(superposition,[status(thm)],[c_3090,c_3901]) ).

tcf(c_4223,plain,
    ( value(out(n1,iPr_def_12),n1)
    | ~ mode(iPr_def_12,ok)
    | ~ type(iPr_def_12,or) ),
    inference(superposition,[status(thm)],[c_4217,c_117]) ).

tcf(c_4228,plain,
    ~ mode(iPr_def_12,ok),
    inference(forward_subsumption_resolution,[status(thm)],[c_4223,c_3013,c_2625]) ).

tcf(c_4229,plain,
    mode(iPr_def_11,ok),
    inference(backward_subsumption_resolution,[status(thm)],[c_2760,c_4228]) ).

tcf(c_4230,plain,
    mode(iPr_def_13,ok),
    inference(backward_subsumption_resolution,[status(thm)],[c_2733,c_4228]) ).

tcf(c_4232,plain,
    mode(iPr_def_16,ok),
    inference(backward_subsumption_resolution,[status(thm)],[c_2719,c_4228]) ).

tcf(c_4238,plain,
    value(in(n1,iPr_def_13),n1),
    inference(backward_subsumption_resolution,[status(thm)],[c_3674,c_4230]) ).

tcf(c_4260,plain,
    value(out(n1,iPr_def_15),n0),
    inference(global_subsumption_just,[status(thm)],[c_4016,c_2726,c_3960,c_4016,c_4217]) ).

tcf(c_4263,plain,
    ! [X0: $i] :
      ( value(X0,n0)
      | ~ connection(out(n1,iPr_def_15),X0) ),
    inference(superposition,[status(thm)],[c_4260,c_105]) ).

tcf(c_4300,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(X0,in(n1,iPr_def_13)) ),
    inference(superposition,[status(thm)],[c_4238,c_106]) ).

tcf(c_4366,plain,
    value(out(n1,iPr_def_11),n1),
    inference(superposition,[status(thm)],[c_2982,c_4300]) ).

tcf(c_4435,plain,
    value(in(n2,iPr_def_16),n0),
    inference(superposition,[status(thm)],[c_3066,c_4263]) ).

tcf(c_4468,plain,
    ( value(in(n2,iPr_def_11),n1)
    | value(in(n1,iPr_def_11),n1)
    | ~ mode(iPr_def_11,ok)
    | ~ type(iPr_def_11,or) ),
    inference(superposition,[status(thm)],[c_4366,c_119]) ).

tcf(c_4477,plain,
    value(in(n2,iPr_def_11),n1),
    inference(forward_subsumption_resolution,[status(thm)],[c_4468,c_3171,c_4229,c_2710]) ).

tcf(c_4491,plain,
    ( value(out(n1,iPr_def_16),n0)
    | ~ mode(iPr_def_16,ok)
    | ~ type(iPr_def_16,and) ),
    inference(superposition,[status(thm)],[c_4435,c_112]) ).

tcf(c_4497,plain,
    value(out(n1,iPr_def_16),n0),
    inference(forward_subsumption_resolution,[status(thm)],[c_4491,c_4232,c_2553]) ).

tcf(c_4514,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(X0,in(n2,iPr_def_11)) ),
    inference(superposition,[status(thm)],[c_4477,c_106]) ).

tcf(c_4523,plain,
    ! [X0: $i] :
      ( value(X0,n0)
      | ~ connection(X0,out(n1,iPr_def_16)) ),
    inference(superposition,[status(thm)],[c_4497,c_106]) ).

tcf(c_4610,plain,
    value(in(n2,iPr_def_10),n1),
    inference(superposition,[status(thm)],[c_2773,c_4514]) ).

tcf(c_4637,plain,
    value(out(s,iPr_def_14),n0),
    inference(superposition,[status(thm)],[c_2794,c_4523]) ).

tcf(c_4685,plain,
    ! [X0: $i] :
      ( value(X0,n1)
      | ~ connection(X0,in(n2,iPr_def_10)) ),
    inference(superposition,[status(thm)],[c_4610,c_106]) ).

tcf(c_4699,plain,
    ~ value(out(s,iPr_def_14),n1),
    inference(superposition,[status(thm)],[c_4637,c_480]) ).

tcf(c_4890,plain,
    value(out(s,iPr_def_14),n1),
    inference(superposition,[status(thm)],[c_3077,c_4685]) ).

tcf(c_4891,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_4890,c_4699]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : HWV007-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n017.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.38  % WCLimit  : 300
% 0.10/0.38  % DateTime : Wed Sep 23 16:16:14 UTC 2026
% 0.10/0.38  % CPUTime  : 
% 0.10/0.38  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 2.07/1.29  % SZS status Started for theBenchmark.p
% 2.07/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.29  
% 2.07/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.07/1.29  
% 2.07/1.29  % ------  iProver source info
% 2.07/1.29  
% 2.07/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 2.07/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.07/1.29  % git: non_committed_changes: false
% 2.07/1.29  
% 2.07/1.29  % ------ Parsing...% successful
% 2.07/1.29  
% 2.07/1.29  
% 2.07/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 2.07/1.29  
% 2.07/1.29  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.07/1.29  
% 2.07/1.29  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e % 
% 2.07/1.29  
% 2.07/1.29  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.07/1.29  % ------ Proving...
% 2.07/1.29  % ------ Problem Properties 
% 2.07/1.29  
% 2.07/1.29  % 
% 2.07/1.29  % clauses                               62
% 2.07/1.29  % conjectures                           5
% 2.07/1.29  % EPR                                   11
% 2.07/1.29  % Horn                                  59
% 2.07/1.29  % unary                                 15
% 2.07/1.29  % binary                                30
% 2.07/1.29  % lits                                  144
% 2.07/1.29  % lits eq                               8
% 2.07/1.29  % fd_pure                               0
% 2.07/1.29  % fd_pseudo                             0
% 2.07/1.29  % fd_cond                               0
% 2.07/1.29  % fd_pseudo_cond                        0
% 2.07/1.29  % AC symbols                            0
% 2.07/1.29  
% 2.07/1.29  % ------ Schedule dynamic 5 is on 
% 2.07/1.29  
% 2.07/1.29  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.07/1.29  
% 2.07/1.29  
% 2.07/1.29  % ------ 
% 2.07/1.29  % Current options:
% 2.07/1.29  % ------ 
% 2.07/1.29  
% 2.07/1.29  
% 2.07/1.29  % 
% 2.07/1.29  
% 2.07/1.29  % ------ Proving...
% 2.07/1.29  % 
% 2.07/1.29  
% 2.07/1.29  % SZS status Unsatisfiable for theBenchmark.p
% 2.07/1.29  
% 2.07/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.07/1.30  
% 2.07/1.30  
%------------------------------------------------------------------------------