TSTP Solution File: HWV008-2.002 by CSE_E---1.5

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%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : HWV008-2.002 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %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 : Thu Aug 31 01:59:59 EDT 2023

% Result   : Unsatisfiable 0.19s 0.61s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   63
% Syntax   : Number of formulae    :  132 (  19 unt;  33 typ;   0 def)
%            Number of atoms       :  229 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  262 ( 132   ~; 130   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  32   >;   1   *;   0   +;   0  <<)
%            Number of predicates  :   14 (  13 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;   1 con; 0-1 aty)
%            Number of variables   :   70 (   0 sgn;   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(decl_22,type,
    connection: ( $i * $i ) > $o ).

tff(decl_23,type,
    zero: $i > $o ).

tff(decl_24,type,
    one: $i > $o ).

tff(decl_25,type,
    and_ok: $i > $o ).

tff(decl_26,type,
    in1: $i > $i ).

tff(decl_27,type,
    out1: $i > $i ).

tff(decl_28,type,
    in2: $i > $i ).

tff(decl_29,type,
    abnormal: $i > $o ).

tff(decl_30,type,
    logic_and: $i > $o ).

tff(decl_31,type,
    or_ok: $i > $o ).

tff(decl_32,type,
    logic_or: $i > $o ).

tff(decl_33,type,
    not_ok: $i > $o ).

tff(decl_34,type,
    logic_not: $i > $o ).

tff(decl_35,type,
    halfadder: $i > $o ).

tff(decl_36,type,
    and1: $i > $i ).

tff(decl_37,type,
    and2: $i > $i ).

tff(decl_38,type,
    not1: $i > $i ).

tff(decl_39,type,
    or1: $i > $i ).

tff(decl_40,type,
    outs: $i > $i ).

tff(decl_41,type,
    outc: $i > $i ).

tff(decl_42,type,
    fulladder: $i > $o ).

tff(decl_43,type,
    h1: $i > $i ).

tff(decl_44,type,
    h2: $i > $i ).

tff(decl_45,type,
    inc: $i > $i ).

tff(decl_46,type,
    nbit_adder2: $i > $o ).

tff(decl_47,type,
    f1: $i > $i ).

tff(decl_48,type,
    f2: $i > $i ).

tff(decl_49,type,
    out2: $i > $i ).

tff(decl_50,type,
    ina1: $i > $i ).

tff(decl_51,type,
    inb1: $i > $i ).

tff(decl_52,type,
    ina2: $i > $i ).

tff(decl_53,type,
    inb2: $i > $i ).

tff(decl_54,type,
    a: $i ).

cnf(and_ok_or_abnormal,axiom,
    ( and_ok(X1)
    | abnormal(X1)
    | ~ logic_and(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).

cnf(halfadder_and2,axiom,
    ( logic_and(and2(X1))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).

cnf(fulladder_halfadder1,axiom,
    ( halfadder(h1(X1))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).

cnf(nbit_adder_fulladder2,axiom,
    ( fulladder(f2(X1))
    | ~ nbit_adder2(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_fulladder2) ).

cnf(fulladder_halfadder2,axiom,
    ( halfadder(h2(X1))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).

cnf(a_isa_2bit_adder,hypothesis,
    nbit_adder2(a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_isa_2bit_adder) ).

cnf(diagnosis_and2h1f2a,negated_conjecture,
    ~ abnormal(and2(h1(f2(a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h1f2a) ).

cnf(and_0x_0,axiom,
    ( zero(out1(X1))
    | ~ and_ok(X1)
    | ~ zero(in1(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_0x_0) ).

cnf(value_propagation_zero1,axiom,
    ( zero(X2)
    | ~ connection(X1,X2)
    | ~ zero(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).

cnf(halfadder_connection_in1_in1and2,axiom,
    ( connection(in1(X1),in1(and2(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).

cnf(diagnosis_and2h2f2a,negated_conjecture,
    ~ abnormal(and2(h2(f2(a)))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_and2h2f2a) ).

cnf(or_ok_or_abnormal,axiom,
    ( or_ok(X1)
    | abnormal(X1)
    | ~ logic_or(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).

cnf(fulladder_or1,axiom,
    ( logic_or(or1(X1))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).

cnf(value_propagation_zero2,axiom,
    ( zero(X1)
    | ~ connection(X1,X2)
    | ~ zero(X2) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).

cnf(halfadder_connection_outc_out1and2,axiom,
    ( connection(outc(X1),out1(and2(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).

cnf(fulladder_connection_outch1_in2or1,axiom,
    ( connection(outc(h1(X1)),in2(or1(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).

cnf(diagnosis_or1f2a,negated_conjecture,
    ~ abnormal(or1(f2(a))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',diagnosis_or1f2a) ).

cnf(fulladder_connection_in2_in1h1,axiom,
    ( connection(in2(X1),in1(h1(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).

cnf(fulladder_connection_outch2_in1or1,axiom,
    ( connection(outc(h2(X1)),in1(or1(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch2_in1or1) ).

cnf(or_00_0,axiom,
    ( zero(out1(X1))
    | ~ or_ok(X1)
    | ~ zero(in1(X1))
    | ~ zero(in2(X1)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_00_0) ).

cnf(fulladder_connection_in1_in1h2,axiom,
    ( connection(in1(X1),in1(h2(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).

cnf(value_propagation_one1,axiom,
    ( one(X2)
    | ~ connection(X1,X2)
    | ~ one(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).

cnf(fulladder_connection_outc_out1or1,axiom,
    ( connection(outc(X1),out1(or1(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).

cnf(unique_value,axiom,
    ( ~ zero(X1)
    | ~ one(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',unique_value) ).

cnf(nbit_adder_connection_outc_outcf1,axiom,
    ( connection(outc(X1),outc(f2(X1)))
    | ~ nbit_adder2(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).

cnf(outc_1,hypothesis,
    one(outc(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_1) ).

cnf(nbit_adder_connection_inb2_in2f2,axiom,
    ( connection(inb2(X1),in2(f2(X1)))
    | ~ nbit_adder2(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_inb2_in2f2) ).

cnf(inb2_0,hypothesis,
    zero(inb2(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inb2_0) ).

cnf(nbit_adder_connection_ina2_in1f2,axiom,
    ( connection(ina2(X1),in1(f2(X1)))
    | ~ nbit_adder2(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nbit_adder_connection_ina2_in1f2) ).

cnf(ina2_0,hypothesis,
    zero(ina2(a)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ina2_0) ).

cnf(c_0_30,axiom,
    ( and_ok(X1)
    | abnormal(X1)
    | ~ logic_and(X1) ),
    and_ok_or_abnormal ).

cnf(c_0_31,axiom,
    ( logic_and(and2(X1))
    | ~ halfadder(X1) ),
    halfadder_and2 ).

cnf(c_0_32,plain,
    ( abnormal(and2(X1))
    | and_ok(and2(X1))
    | ~ halfadder(X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_33,axiom,
    ( halfadder(h1(X1))
    | ~ fulladder(X1) ),
    fulladder_halfadder1 ).

cnf(c_0_34,plain,
    ( abnormal(and2(h1(X1)))
    | and_ok(and2(h1(X1)))
    | ~ fulladder(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_35,axiom,
    ( fulladder(f2(X1))
    | ~ nbit_adder2(X1) ),
    nbit_adder_fulladder2 ).

cnf(c_0_36,axiom,
    ( halfadder(h2(X1))
    | ~ fulladder(X1) ),
    fulladder_halfadder2 ).

cnf(c_0_37,plain,
    ( abnormal(and2(h1(f2(X1))))
    | and_ok(and2(h1(f2(X1))))
    | ~ nbit_adder2(X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,hypothesis,
    nbit_adder2(a),
    a_isa_2bit_adder ).

cnf(c_0_39,negated_conjecture,
    ~ abnormal(and2(h1(f2(a)))),
    diagnosis_and2h1f2a ).

cnf(c_0_40,plain,
    ( abnormal(and2(h2(X1)))
    | and_ok(and2(h2(X1)))
    | ~ fulladder(X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_36]) ).

cnf(c_0_41,axiom,
    ( zero(out1(X1))
    | ~ and_ok(X1)
    | ~ zero(in1(X1)) ),
    and_0x_0 ).

cnf(c_0_42,hypothesis,
    and_ok(and2(h1(f2(a)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).

cnf(c_0_43,axiom,
    ( zero(X2)
    | ~ connection(X1,X2)
    | ~ zero(X1) ),
    value_propagation_zero1 ).

cnf(c_0_44,axiom,
    ( connection(in1(X1),in1(and2(X1)))
    | ~ halfadder(X1) ),
    halfadder_connection_in1_in1and2 ).

cnf(c_0_45,plain,
    ( abnormal(and2(h2(f2(X1))))
    | and_ok(and2(h2(f2(X1))))
    | ~ nbit_adder2(X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_35]) ).

cnf(c_0_46,negated_conjecture,
    ~ abnormal(and2(h2(f2(a)))),
    diagnosis_and2h2f2a ).

cnf(c_0_47,axiom,
    ( or_ok(X1)
    | abnormal(X1)
    | ~ logic_or(X1) ),
    or_ok_or_abnormal ).

cnf(c_0_48,axiom,
    ( logic_or(or1(X1))
    | ~ fulladder(X1) ),
    fulladder_or1 ).

cnf(c_0_49,axiom,
    ( zero(X1)
    | ~ connection(X1,X2)
    | ~ zero(X2) ),
    value_propagation_zero2 ).

cnf(c_0_50,axiom,
    ( connection(outc(X1),out1(and2(X1)))
    | ~ halfadder(X1) ),
    halfadder_connection_outc_out1and2 ).

cnf(c_0_51,hypothesis,
    ( zero(out1(and2(h1(f2(a)))))
    | ~ zero(in1(and2(h1(f2(a))))) ),
    inference(spm,[status(thm)],[c_0_41,c_0_42]) ).

cnf(c_0_52,plain,
    ( zero(in1(and2(X1)))
    | ~ halfadder(X1)
    | ~ zero(in1(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_44]) ).

cnf(c_0_53,hypothesis,
    and_ok(and2(h2(f2(a)))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_46]) ).

cnf(c_0_54,plain,
    ( or_ok(or1(X1))
    | abnormal(or1(X1))
    | ~ fulladder(X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_48]) ).

cnf(c_0_55,axiom,
    ( connection(outc(h1(X1)),in2(or1(X1)))
    | ~ fulladder(X1) ),
    fulladder_connection_outch1_in2or1 ).

cnf(c_0_56,plain,
    ( zero(outc(X1))
    | ~ halfadder(X1)
    | ~ zero(out1(and2(X1))) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]) ).

cnf(c_0_57,hypothesis,
    ( zero(out1(and2(h1(f2(a)))))
    | ~ halfadder(h1(f2(a)))
    | ~ zero(in1(h1(f2(a)))) ),
    inference(spm,[status(thm)],[c_0_51,c_0_52]) ).

cnf(c_0_58,hypothesis,
    ( zero(out1(and2(h2(f2(a)))))
    | ~ zero(in1(and2(h2(f2(a))))) ),
    inference(spm,[status(thm)],[c_0_41,c_0_53]) ).

cnf(c_0_59,plain,
    ( or_ok(or1(f2(X1)))
    | abnormal(or1(f2(X1)))
    | ~ nbit_adder2(X1) ),
    inference(spm,[status(thm)],[c_0_54,c_0_35]) ).

cnf(c_0_60,negated_conjecture,
    ~ abnormal(or1(f2(a))),
    diagnosis_or1f2a ).

cnf(c_0_61,plain,
    ( zero(in2(or1(X1)))
    | ~ fulladder(X1)
    | ~ zero(outc(h1(X1))) ),
    inference(spm,[status(thm)],[c_0_43,c_0_55]) ).

cnf(c_0_62,hypothesis,
    ( zero(outc(h1(f2(a))))
    | ~ halfadder(h1(f2(a)))
    | ~ zero(in1(h1(f2(a)))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_63,axiom,
    ( connection(in2(X1),in1(h1(X1)))
    | ~ fulladder(X1) ),
    fulladder_connection_in2_in1h1 ).

cnf(c_0_64,axiom,
    ( connection(outc(h2(X1)),in1(or1(X1)))
    | ~ fulladder(X1) ),
    fulladder_connection_outch2_in1or1 ).

cnf(c_0_65,hypothesis,
    ( zero(out1(and2(h2(f2(a)))))
    | ~ halfadder(h2(f2(a)))
    | ~ zero(in1(h2(f2(a)))) ),
    inference(spm,[status(thm)],[c_0_58,c_0_52]) ).

cnf(c_0_66,axiom,
    ( zero(out1(X1))
    | ~ or_ok(X1)
    | ~ zero(in1(X1))
    | ~ zero(in2(X1)) ),
    or_00_0 ).

cnf(c_0_67,hypothesis,
    or_ok(or1(f2(a))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_38]),c_0_60]) ).

cnf(c_0_68,hypothesis,
    ( zero(in2(or1(f2(a))))
    | ~ fulladder(f2(a))
    | ~ zero(in1(h1(f2(a)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_33]) ).

cnf(c_0_69,plain,
    ( zero(in1(h1(X1)))
    | ~ fulladder(X1)
    | ~ zero(in2(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_63]) ).

cnf(c_0_70,plain,
    ( zero(in1(or1(X1)))
    | ~ fulladder(X1)
    | ~ zero(outc(h2(X1))) ),
    inference(spm,[status(thm)],[c_0_43,c_0_64]) ).

cnf(c_0_71,hypothesis,
    ( zero(outc(h2(f2(a))))
    | ~ halfadder(h2(f2(a)))
    | ~ zero(in1(h2(f2(a)))) ),
    inference(spm,[status(thm)],[c_0_56,c_0_65]) ).

cnf(c_0_72,axiom,
    ( connection(in1(X1),in1(h2(X1)))
    | ~ fulladder(X1) ),
    fulladder_connection_in1_in1h2 ).

cnf(c_0_73,axiom,
    ( one(X2)
    | ~ connection(X1,X2)
    | ~ one(X1) ),
    value_propagation_one1 ).

cnf(c_0_74,axiom,
    ( connection(outc(X1),out1(or1(X1)))
    | ~ fulladder(X1) ),
    fulladder_connection_outc_out1or1 ).

cnf(c_0_75,hypothesis,
    ( zero(out1(or1(f2(a))))
    | ~ zero(in1(or1(f2(a))))
    | ~ zero(in2(or1(f2(a)))) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_76,hypothesis,
    ( zero(in2(or1(f2(a))))
    | ~ fulladder(f2(a))
    | ~ zero(in2(f2(a))) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

cnf(c_0_77,hypothesis,
    ( zero(in1(or1(f2(a))))
    | ~ fulladder(f2(a))
    | ~ zero(in1(h2(f2(a)))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_71]),c_0_36]) ).

cnf(c_0_78,plain,
    ( zero(in1(h2(X1)))
    | ~ fulladder(X1)
    | ~ zero(in1(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_72]) ).

cnf(c_0_79,axiom,
    ( ~ zero(X1)
    | ~ one(X1) ),
    unique_value ).

cnf(c_0_80,plain,
    ( one(out1(or1(X1)))
    | ~ fulladder(X1)
    | ~ one(outc(X1)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_74]) ).

cnf(c_0_81,hypothesis,
    ( zero(out1(or1(f2(a))))
    | ~ fulladder(f2(a))
    | ~ zero(in1(or1(f2(a))))
    | ~ zero(in2(f2(a))) ),
    inference(spm,[status(thm)],[c_0_75,c_0_76]) ).

cnf(c_0_82,hypothesis,
    ( zero(in1(or1(f2(a))))
    | ~ fulladder(f2(a))
    | ~ zero(in1(f2(a))) ),
    inference(spm,[status(thm)],[c_0_77,c_0_78]) ).

cnf(c_0_83,plain,
    ( ~ fulladder(X1)
    | ~ one(outc(X1))
    | ~ zero(out1(or1(X1))) ),
    inference(spm,[status(thm)],[c_0_79,c_0_80]) ).

cnf(c_0_84,hypothesis,
    ( zero(out1(or1(f2(a))))
    | ~ fulladder(f2(a))
    | ~ zero(in2(f2(a)))
    | ~ zero(in1(f2(a))) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]) ).

cnf(c_0_85,axiom,
    ( connection(outc(X1),outc(f2(X1)))
    | ~ nbit_adder2(X1) ),
    nbit_adder_connection_outc_outcf1 ).

cnf(c_0_86,hypothesis,
    ( ~ fulladder(f2(a))
    | ~ one(outc(f2(a)))
    | ~ zero(in2(f2(a)))
    | ~ zero(in1(f2(a))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_87,plain,
    ( one(outc(f2(X1)))
    | ~ nbit_adder2(X1)
    | ~ one(outc(X1)) ),
    inference(spm,[status(thm)],[c_0_73,c_0_85]) ).

cnf(c_0_88,hypothesis,
    one(outc(a)),
    outc_1 ).

cnf(c_0_89,hypothesis,
    ( ~ fulladder(f2(a))
    | ~ zero(in2(f2(a)))
    | ~ zero(in1(f2(a))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_38]),c_0_88])]) ).

cnf(c_0_90,axiom,
    ( connection(inb2(X1),in2(f2(X1)))
    | ~ nbit_adder2(X1) ),
    nbit_adder_connection_inb2_in2f2 ).

cnf(c_0_91,hypothesis,
    ( ~ zero(in2(f2(a)))
    | ~ zero(in1(f2(a))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_35]),c_0_38])]) ).

cnf(c_0_92,plain,
    ( zero(in2(f2(X1)))
    | ~ nbit_adder2(X1)
    | ~ zero(inb2(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_90]) ).

cnf(c_0_93,hypothesis,
    zero(inb2(a)),
    inb2_0 ).

cnf(c_0_94,axiom,
    ( connection(ina2(X1),in1(f2(X1)))
    | ~ nbit_adder2(X1) ),
    nbit_adder_connection_ina2_in1f2 ).

cnf(c_0_95,hypothesis,
    ~ zero(in1(f2(a))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_38]),c_0_93])]) ).

cnf(c_0_96,plain,
    ( zero(in1(f2(X1)))
    | ~ nbit_adder2(X1)
    | ~ zero(ina2(X1)) ),
    inference(spm,[status(thm)],[c_0_43,c_0_94]) ).

cnf(c_0_97,hypothesis,
    zero(ina2(a)),
    ina2_0 ).

cnf(c_0_98,hypothesis,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_38]),c_0_97])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : HWV008-2.002 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Tue Aug 29 14:38:13 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.56  start to proof: theBenchmark
% 0.19/0.61  % Version  : CSE_E---1.5
% 0.19/0.61  % Problem  : theBenchmark.p
% 0.19/0.61  % Proof found
% 0.19/0.61  % SZS status Theorem for theBenchmark.p
% 0.19/0.61  % SZS output start Proof
% See solution above
% 0.19/0.62  % Total time : 0.038000 s
% 0.19/0.62  % SZS output end Proof
% 0.19/0.62  % Total time : 0.042000 s
%------------------------------------------------------------------------------