TSTP Solution File: HWV006-2 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : HWV006-2 : TPTP v8.2.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n016.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 21:35:04 EDT 2024

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   51
% Syntax   : Number of clauses     :  227 (  32 unt;  29 nHn; 227 RR)
%            Number of literals    :  569 (   0 equ; 344 neg)
%            Maximal clause size   :    5 (   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   :  165 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(not_ok_or_abnormal,axiom,
    ( not_ok(X1)
    | abnormal(X1)
    | ~ logic_not(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).

cnf(halfadder_not1,axiom,
    ( logic_not(not1(X1))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).

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

cnf(halfadder_and1,axiom,
    ( logic_and(and1(X1))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).

cnf(not_1_0_bw,axiom,
    ( zero(in1(X1))
    | ~ not_ok(X1)
    | ~ one(out1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_1_0_bw) ).

cnf(and_1_x1,axiom,
    ( one(in2(X1))
    | ~ and_ok(X1)
    | ~ one(out1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_1_x1) ).

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

cnf(halfadder_connection_out1and2_in1not1,axiom,
    ( connection(out1(and2(X1)),in1(not1(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).

cnf(diagnosis_or1_not1h2,negated_conjecture,
    ( ~ abnormal(or1(f))
    | ~ abnormal(not1(h2(f))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).

cnf(value_propagation_one2,axiom,
    ( one(X1)
    | ~ connection(X1,X2)
    | ~ one(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).

cnf(halfadder_connection_out1not1_in2and1,axiom,
    ( connection(out1(not1(X1)),in2(and1(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).

cnf(diagnosis_or1_and1h2,negated_conjecture,
    ( ~ abnormal(or1(f))
    | ~ abnormal(and1(h2(f))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).

cnf(and_0_00,axiom,
    ( zero(in1(X1))
    | zero(in2(X1))
    | ~ and_ok(X1)
    | ~ zero(out1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_0_00) ).

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

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

cnf(diagnosis_and1h1,negated_conjecture,
    ~ abnormal(and1(h1(f))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1h1) ).

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

cnf(not_0_1_fw,axiom,
    ( one(out1(X1))
    | ~ not_ok(X1)
    | ~ zero(in1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_0_1_fw) ).

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

cnf(halfadder_or1,axiom,
    ( logic_or(or1(X1))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).

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

cnf(halfadder_connection_outs_out1and1,axiom,
    ( connection(outs(X1),out1(and1(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).

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

cnf(diagnosis_not1h1,negated_conjecture,
    ~ abnormal(not1(h1(f))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1h1) ).

cnf(or_0_01,axiom,
    ( zero(in2(X1))
    | ~ or_ok(X1)
    | ~ zero(out1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_0_01) ).

cnf(halfadder_connection_in2_in2and2,axiom,
    ( connection(in2(X1),in2(and2(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2and2) ).

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

cnf(fulladder_connection_inc_in2h1,axiom,
    ( connection(inc(X1),in2(h1(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_inc_in2h1) ).

cnf(fulladder_connection_outs_outsh2,axiom,
    ( connection(outs(X1),outs(h2(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outs_outsh2) ).

cnf(diagnosis_or1h1,negated_conjecture,
    ~ abnormal(or1(h1(f))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1h1) ).

cnf(halfadder_connection_in2_in2or1,axiom,
    ( connection(in2(X1),in2(or1(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2or1) ).

cnf(diagnosis_and2,negated_conjecture,
    ~ abnormal(and2(h2(f))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2) ).

cnf(f_isa_fulladder,hypothesis,
    fulladder(f),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).

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

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

cnf(halfadder_connection_out1or1_in1_and1,axiom,
    ( connection(out1(or1(X1)),in1(and1(X1)))
    | ~ halfadder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).

cnf(inc_1,hypothesis,
    one(inc(f)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).

cnf(outs_1,hypothesis,
    one(outs(f)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).

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

cnf(or_0_0x,axiom,
    ( zero(in1(X1))
    | ~ or_ok(X1)
    | ~ zero(out1(X1)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_0_0x) ).

cnf(fulladder_connection_outsh1_in2h2,axiom,
    ( connection(outs(h1(X1)),in2(h2(X1)))
    | ~ fulladder(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outsh1_in2h2) ).

cnf(outc_0,hypothesis,
    zero(outc(f)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).

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

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

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

cnf(diagnosis_and2h1,negated_conjecture,
    ~ abnormal(and2(h1(f))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).

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

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

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

cnf(in2_0,hypothesis,
    zero(in2(f)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).

cnf(in1_1,hypothesis,
    one(in1(f)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).

cnf(c_0_51,plain,
    ( not_ok(X1)
    | abnormal(X1)
    | ~ logic_not(X1) ),
    inference(fof_simplification,[status(thm)],[not_ok_or_abnormal]) ).

cnf(c_0_52,plain,
    ( logic_not(not1(X1))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_not1]) ).

cnf(c_0_53,plain,
    ( and_ok(X1)
    | abnormal(X1)
    | ~ logic_and(X1) ),
    inference(fof_simplification,[status(thm)],[and_ok_or_abnormal]) ).

cnf(c_0_54,plain,
    ( logic_and(and1(X1))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_and1]) ).

cnf(c_0_55,plain,
    ( zero(in1(X1))
    | ~ not_ok(X1)
    | ~ one(out1(X1)) ),
    inference(fof_simplification,[status(thm)],[not_1_0_bw]) ).

cnf(c_0_56,plain,
    ( not_ok(X1)
    | abnormal(X1)
    | ~ logic_not(X1) ),
    c_0_51 ).

cnf(c_0_57,plain,
    ( logic_not(not1(X1))
    | ~ halfadder(X1) ),
    c_0_52 ).

cnf(c_0_58,plain,
    ( one(in2(X1))
    | ~ and_ok(X1)
    | ~ one(out1(X1)) ),
    inference(fof_simplification,[status(thm)],[and_1_x1]) ).

cnf(c_0_59,plain,
    ( and_ok(X1)
    | abnormal(X1)
    | ~ logic_and(X1) ),
    c_0_53 ).

cnf(c_0_60,plain,
    ( logic_and(and1(X1))
    | ~ halfadder(X1) ),
    c_0_54 ).

cnf(c_0_61,plain,
    ( zero(X1)
    | ~ connection(X1,X2)
    | ~ zero(X2) ),
    inference(fof_simplification,[status(thm)],[value_propagation_zero2]) ).

cnf(c_0_62,plain,
    ( connection(out1(and2(X1)),in1(not1(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_out1and2_in1not1]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ abnormal(or1(f))
    | ~ abnormal(not1(h2(f))) ),
    inference(fof_simplification,[status(thm)],[diagnosis_or1_not1h2]) ).

cnf(c_0_64,plain,
    ( zero(in1(X1))
    | ~ not_ok(X1)
    | ~ one(out1(X1)) ),
    c_0_55 ).

cnf(c_0_65,plain,
    ( not_ok(not1(X1))
    | abnormal(not1(X1))
    | ~ halfadder(X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_57]) ).

cnf(c_0_66,plain,
    ( one(X1)
    | ~ connection(X1,X2)
    | ~ one(X2) ),
    inference(fof_simplification,[status(thm)],[value_propagation_one2]) ).

cnf(c_0_67,plain,
    ( connection(out1(not1(X1)),in2(and1(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_out1not1_in2and1]) ).

cnf(c_0_68,negated_conjecture,
    ( ~ abnormal(or1(f))
    | ~ abnormal(and1(h2(f))) ),
    inference(fof_simplification,[status(thm)],[diagnosis_or1_and1h2]) ).

cnf(c_0_69,plain,
    ( one(in2(X1))
    | ~ and_ok(X1)
    | ~ one(out1(X1)) ),
    c_0_58 ).

cnf(c_0_70,plain,
    ( abnormal(and1(X1))
    | and_ok(and1(X1))
    | ~ halfadder(X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_60]) ).

cnf(c_0_71,plain,
    ( zero(in1(X1))
    | zero(in2(X1))
    | ~ and_ok(X1)
    | ~ zero(out1(X1)) ),
    inference(fof_simplification,[status(thm)],[and_0_00]) ).

cnf(c_0_72,plain,
    ( zero(X1)
    | ~ connection(X1,X2)
    | ~ zero(X2) ),
    c_0_61 ).

cnf(c_0_73,plain,
    ( connection(out1(and2(X1)),in1(not1(X1)))
    | ~ halfadder(X1) ),
    c_0_62 ).

cnf(c_0_74,negated_conjecture,
    ( ~ abnormal(or1(f))
    | ~ abnormal(not1(h2(f))) ),
    c_0_63 ).

cnf(c_0_75,plain,
    ( abnormal(not1(X1))
    | zero(in1(not1(X1)))
    | ~ halfadder(X1)
    | ~ one(out1(not1(X1))) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_76,plain,
    ( one(X1)
    | ~ connection(X1,X2)
    | ~ one(X2) ),
    c_0_66 ).

cnf(c_0_77,plain,
    ( connection(out1(not1(X1)),in2(and1(X1)))
    | ~ halfadder(X1) ),
    c_0_67 ).

cnf(c_0_78,negated_conjecture,
    ( ~ abnormal(or1(f))
    | ~ abnormal(and1(h2(f))) ),
    c_0_68 ).

cnf(c_0_79,plain,
    ( abnormal(and1(X1))
    | one(in2(and1(X1)))
    | ~ halfadder(X1)
    | ~ one(out1(and1(X1))) ),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_80,plain,
    ( ~ zero(X1)
    | ~ one(X1) ),
    inference(fof_simplification,[status(thm)],[unique_value]) ).

cnf(c_0_81,plain,
    ( zero(in1(X1))
    | zero(in2(X1))
    | ~ and_ok(X1)
    | ~ zero(out1(X1)) ),
    c_0_71 ).

cnf(c_0_82,plain,
    ( connection(outc(X1),out1(and2(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_outc_out1and2]) ).

cnf(c_0_83,plain,
    ( zero(out1(and2(X1)))
    | ~ halfadder(X1)
    | ~ zero(in1(not1(X1))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_73]) ).

cnf(c_0_84,negated_conjecture,
    ( zero(in1(not1(h2(f))))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(out1(not1(h2(f)))) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_85,plain,
    ( one(out1(not1(X1)))
    | ~ halfadder(X1)
    | ~ one(in2(and1(X1))) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_86,negated_conjecture,
    ( one(in2(and1(h2(f))))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(out1(and1(h2(f)))) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_87,negated_conjecture,
    ~ abnormal(and1(h1(f))),
    inference(fof_simplification,[status(thm)],[diagnosis_and1h1]) ).

cnf(c_0_88,plain,
    ( ~ zero(X1)
    | ~ one(X1) ),
    c_0_80 ).

cnf(c_0_89,plain,
    ( abnormal(and1(X1))
    | zero(in2(and1(X1)))
    | zero(in1(and1(X1)))
    | ~ halfadder(X1)
    | ~ zero(out1(and1(X1))) ),
    inference(spm,[status(thm)],[c_0_81,c_0_70]) ).

cnf(c_0_90,plain,
    ( one(X2)
    | ~ connection(X1,X2)
    | ~ one(X1) ),
    inference(fof_simplification,[status(thm)],[value_propagation_one1]) ).

cnf(c_0_91,plain,
    ( one(out1(X1))
    | ~ not_ok(X1)
    | ~ zero(in1(X1)) ),
    inference(fof_simplification,[status(thm)],[not_0_1_fw]) ).

cnf(c_0_92,plain,
    ( or_ok(X1)
    | abnormal(X1)
    | ~ logic_or(X1) ),
    inference(fof_simplification,[status(thm)],[or_ok_or_abnormal]) ).

cnf(c_0_93,plain,
    ( logic_or(or1(X1))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_or1]) ).

cnf(c_0_94,plain,
    ( logic_and(and2(X1))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_and2]) ).

cnf(c_0_95,plain,
    ( connection(outc(X1),out1(and2(X1)))
    | ~ halfadder(X1) ),
    c_0_82 ).

cnf(c_0_96,negated_conjecture,
    ( zero(out1(and2(h2(f))))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(out1(not1(h2(f)))) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_97,negated_conjecture,
    ( one(out1(not1(h2(f))))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(out1(and1(h2(f)))) ),
    inference(spm,[status(thm)],[c_0_85,c_0_86]) ).

cnf(c_0_98,plain,
    ( connection(outs(X1),out1(and1(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_outs_out1and1]) ).

cnf(c_0_99,negated_conjecture,
    ~ abnormal(and1(h1(f))),
    c_0_87 ).

cnf(c_0_100,plain,
    ( abnormal(and1(X1))
    | zero(in1(and1(X1)))
    | ~ halfadder(X1)
    | ~ one(in2(and1(X1)))
    | ~ zero(out1(and1(X1))) ),
    inference(spm,[status(thm)],[c_0_88,c_0_89]) ).

cnf(c_0_101,plain,
    ( one(X2)
    | ~ connection(X1,X2)
    | ~ one(X1) ),
    c_0_90 ).

cnf(c_0_102,plain,
    ( zero(X2)
    | ~ connection(X1,X2)
    | ~ zero(X1) ),
    inference(fof_simplification,[status(thm)],[value_propagation_zero1]) ).

cnf(c_0_103,negated_conjecture,
    ~ abnormal(not1(h1(f))),
    inference(fof_simplification,[status(thm)],[diagnosis_not1h1]) ).

cnf(c_0_104,plain,
    ( one(out1(X1))
    | ~ not_ok(X1)
    | ~ zero(in1(X1)) ),
    c_0_91 ).

cnf(c_0_105,plain,
    ( zero(in2(X1))
    | ~ or_ok(X1)
    | ~ zero(out1(X1)) ),
    inference(fof_simplification,[status(thm)],[or_0_01]) ).

cnf(c_0_106,plain,
    ( or_ok(X1)
    | abnormal(X1)
    | ~ logic_or(X1) ),
    c_0_92 ).

cnf(c_0_107,plain,
    ( logic_or(or1(X1))
    | ~ halfadder(X1) ),
    c_0_93 ).

cnf(c_0_108,plain,
    ( connection(in2(X1),in2(and2(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2and2]) ).

cnf(c_0_109,plain,
    ( logic_and(and2(X1))
    | ~ halfadder(X1) ),
    c_0_94 ).

cnf(c_0_110,plain,
    ( connection(outc(h2(X1)),in1(or1(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outch2_in1or1]) ).

cnf(c_0_111,plain,
    ( zero(outc(X1))
    | ~ halfadder(X1)
    | ~ zero(out1(and2(X1))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_95]) ).

cnf(c_0_112,negated_conjecture,
    ( zero(out1(and2(h2(f))))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(out1(and1(h2(f)))) ),
    inference(spm,[status(thm)],[c_0_96,c_0_97]) ).

cnf(c_0_113,plain,
    ( connection(outs(X1),out1(and1(X1)))
    | ~ halfadder(X1) ),
    c_0_98 ).

cnf(c_0_114,negated_conjecture,
    ( zero(in1(and1(h1(f))))
    | ~ halfadder(h1(f))
    | ~ one(in2(and1(h1(f))))
    | ~ zero(out1(and1(h1(f)))) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_115,plain,
    ( one(in2(and1(X1)))
    | ~ halfadder(X1)
    | ~ one(out1(not1(X1))) ),
    inference(spm,[status(thm)],[c_0_101,c_0_77]) ).

cnf(c_0_116,plain,
    ( zero(X2)
    | ~ connection(X1,X2)
    | ~ zero(X1) ),
    c_0_102 ).

cnf(c_0_117,negated_conjecture,
    ~ abnormal(not1(h1(f))),
    c_0_103 ).

cnf(c_0_118,plain,
    ( abnormal(not1(X1))
    | one(out1(not1(X1)))
    | ~ halfadder(X1)
    | ~ zero(in1(not1(X1))) ),
    inference(spm,[status(thm)],[c_0_104,c_0_65]) ).

cnf(c_0_119,plain,
    ( zero(in2(X1))
    | ~ or_ok(X1)
    | ~ zero(out1(X1)) ),
    c_0_105 ).

cnf(c_0_120,plain,
    ( or_ok(or1(X1))
    | abnormal(or1(X1))
    | ~ halfadder(X1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_107]) ).

cnf(c_0_121,plain,
    ( connection(inc(X1),in2(h1(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_inc_in2h1]) ).

cnf(c_0_122,plain,
    ( connection(in2(X1),in2(and2(X1)))
    | ~ halfadder(X1) ),
    c_0_108 ).

cnf(c_0_123,plain,
    ( abnormal(and2(X1))
    | and_ok(and2(X1))
    | ~ halfadder(X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_109]) ).

cnf(c_0_124,plain,
    ( connection(outc(h2(X1)),in1(or1(X1)))
    | ~ fulladder(X1) ),
    c_0_110 ).

cnf(c_0_125,negated_conjecture,
    ( zero(outc(h2(f)))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(out1(and1(h2(f)))) ),
    inference(spm,[status(thm)],[c_0_111,c_0_112]) ).

cnf(c_0_126,plain,
    ( one(out1(and1(X1)))
    | ~ halfadder(X1)
    | ~ one(outs(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_113]) ).

cnf(c_0_127,plain,
    ( connection(outs(X1),outs(h2(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outs_outsh2]) ).

cnf(c_0_128,negated_conjecture,
    ( zero(in1(and1(h1(f))))
    | ~ halfadder(h1(f))
    | ~ one(out1(not1(h1(f))))
    | ~ zero(out1(and1(h1(f)))) ),
    inference(spm,[status(thm)],[c_0_114,c_0_115]) ).

cnf(c_0_129,plain,
    ( zero(out1(and1(X1)))
    | ~ halfadder(X1)
    | ~ zero(outs(X1)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_113]) ).

cnf(c_0_130,negated_conjecture,
    ( one(out1(not1(h1(f))))
    | ~ halfadder(h1(f))
    | ~ zero(in1(not1(h1(f)))) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_131,plain,
    ( zero(in1(not1(X1)))
    | ~ halfadder(X1)
    | ~ zero(out1(and2(X1))) ),
    inference(spm,[status(thm)],[c_0_116,c_0_73]) ).

cnf(c_0_132,negated_conjecture,
    ~ abnormal(or1(h1(f))),
    inference(fof_simplification,[status(thm)],[diagnosis_or1h1]) ).

cnf(c_0_133,plain,
    ( abnormal(or1(X1))
    | zero(in2(or1(X1)))
    | ~ halfadder(X1)
    | ~ zero(out1(or1(X1))) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_134,plain,
    ( connection(in2(X1),in2(or1(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2or1]) ).

cnf(c_0_135,plain,
    ( connection(inc(X1),in2(h1(X1)))
    | ~ fulladder(X1) ),
    c_0_121 ).

cnf(c_0_136,negated_conjecture,
    ~ abnormal(and2(h2(f))),
    inference(fof_simplification,[status(thm)],[diagnosis_and2]) ).

cnf(c_0_137,plain,
    ( zero(in2(X1))
    | ~ halfadder(X1)
    | ~ zero(in2(and2(X1))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_122]) ).

cnf(c_0_138,plain,
    ( abnormal(and2(X1))
    | zero(in2(and2(X1)))
    | zero(in1(and2(X1)))
    | ~ halfadder(X1)
    | ~ zero(out1(and2(X1))) ),
    inference(spm,[status(thm)],[c_0_81,c_0_123]) ).

cnf(c_0_139,plain,
    ( zero(in1(or1(X1)))
    | ~ fulladder(X1)
    | ~ zero(outc(h2(X1))) ),
    inference(spm,[status(thm)],[c_0_116,c_0_124]) ).

cnf(c_0_140,negated_conjecture,
    ( zero(outc(h2(f)))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(outs(h2(f))) ),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_141,hypothesis,
    fulladder(f),
    f_isa_fulladder ).

cnf(c_0_142,plain,
    ( connection(outs(X1),outs(h2(X1)))
    | ~ fulladder(X1) ),
    c_0_127 ).

cnf(c_0_143,plain,
    ( logic_or(or1(X1))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_or1]) ).

cnf(c_0_144,plain,
    ( connection(outc(X1),out1(or1(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outc_out1or1]) ).

cnf(c_0_145,plain,
    ( connection(out1(or1(X1)),in1(and1(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_out1or1_in1_and1]) ).

cnf(c_0_146,negated_conjecture,
    ( zero(in1(and1(h1(f))))
    | ~ halfadder(h1(f))
    | ~ one(out1(not1(h1(f))))
    | ~ zero(outs(h1(f))) ),
    inference(spm,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_147,negated_conjecture,
    ( one(out1(not1(h1(f))))
    | ~ halfadder(h1(f))
    | ~ zero(out1(and2(h1(f)))) ),
    inference(spm,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_148,negated_conjecture,
    ~ abnormal(or1(h1(f))),
    c_0_132 ).

cnf(c_0_149,plain,
    ( abnormal(or1(X1))
    | ~ halfadder(X1)
    | ~ one(in2(or1(X1)))
    | ~ zero(out1(or1(X1))) ),
    inference(spm,[status(thm)],[c_0_88,c_0_133]) ).

cnf(c_0_150,plain,
    ( connection(in2(X1),in2(or1(X1)))
    | ~ halfadder(X1) ),
    c_0_134 ).

cnf(c_0_151,plain,
    ( one(in2(h1(X1)))
    | ~ fulladder(X1)
    | ~ one(inc(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_135]) ).

cnf(c_0_152,hypothesis,
    one(inc(f)),
    inc_1 ).

cnf(c_0_153,negated_conjecture,
    ~ abnormal(and2(h2(f))),
    c_0_136 ).

cnf(c_0_154,plain,
    ( abnormal(and2(X1))
    | zero(in1(and2(X1)))
    | zero(in2(X1))
    | ~ halfadder(X1)
    | ~ zero(out1(and2(X1))) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_155,negated_conjecture,
    ( zero(in1(or1(f)))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f))
    | ~ one(outs(h2(f))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_140]),c_0_141])]) ).

cnf(c_0_156,plain,
    ( one(outs(h2(X1)))
    | ~ fulladder(X1)
    | ~ one(outs(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_142]) ).

cnf(c_0_157,hypothesis,
    one(outs(f)),
    outs_1 ).

cnf(c_0_158,plain,
    ( halfadder(h2(X1))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_halfadder2]) ).

cnf(c_0_159,plain,
    ( zero(in1(X1))
    | ~ or_ok(X1)
    | ~ zero(out1(X1)) ),
    inference(fof_simplification,[status(thm)],[or_0_0x]) ).

cnf(c_0_160,plain,
    ( logic_or(or1(X1))
    | ~ fulladder(X1) ),
    c_0_143 ).

cnf(c_0_161,plain,
    ( connection(outc(X1),out1(or1(X1)))
    | ~ fulladder(X1) ),
    c_0_144 ).

cnf(c_0_162,plain,
    ( connection(out1(or1(X1)),in1(and1(X1)))
    | ~ halfadder(X1) ),
    c_0_145 ).

cnf(c_0_163,negated_conjecture,
    ( zero(in1(and1(h1(f))))
    | ~ halfadder(h1(f))
    | ~ zero(out1(and2(h1(f))))
    | ~ zero(outs(h1(f))) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_164,plain,
    ( zero(out1(and2(X1)))
    | ~ halfadder(X1)
    | ~ zero(outc(X1)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_95]) ).

cnf(c_0_165,negated_conjecture,
    ( ~ halfadder(h1(f))
    | ~ one(in2(or1(h1(f))))
    | ~ zero(out1(or1(h1(f)))) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_166,plain,
    ( one(in2(or1(X1)))
    | ~ halfadder(X1)
    | ~ one(in2(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_150]) ).

cnf(c_0_167,hypothesis,
    one(in2(h1(f))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_152]),c_0_141])]) ).

cnf(c_0_168,plain,
    ( connection(outs(h1(X1)),in2(h2(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outsh1_in2h2]) ).

cnf(c_0_169,negated_conjecture,
    ( zero(in1(and2(h2(f))))
    | zero(in2(h2(f)))
    | ~ halfadder(h2(f))
    | ~ zero(out1(and2(h2(f)))) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_170,negated_conjecture,
    ( zero(in1(or1(f)))
    | ~ halfadder(h2(f))
    | ~ abnormal(or1(f)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_155,c_0_156]),c_0_141]),c_0_157])]) ).

cnf(c_0_171,plain,
    ( halfadder(h2(X1))
    | ~ fulladder(X1) ),
    c_0_158 ).

cnf(c_0_172,plain,
    ( zero(in1(X1))
    | ~ or_ok(X1)
    | ~ zero(out1(X1)) ),
    c_0_159 ).

cnf(c_0_173,plain,
    ( or_ok(or1(X1))
    | abnormal(or1(X1))
    | ~ fulladder(X1) ),
    inference(spm,[status(thm)],[c_0_106,c_0_160]) ).

cnf(c_0_174,plain,
    ( zero(out1(or1(X1)))
    | ~ fulladder(X1)
    | ~ zero(outc(X1)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_161]) ).

cnf(c_0_175,hypothesis,
    zero(outc(f)),
    outc_0 ).

cnf(c_0_176,plain,
    ( zero(out1(X1))
    | ~ and_ok(X1)
    | ~ zero(in1(X1)) ),
    inference(fof_simplification,[status(thm)],[and_0x_0]) ).

cnf(c_0_177,plain,
    ( zero(out1(or1(X1)))
    | ~ halfadder(X1)
    | ~ zero(in1(and1(X1))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_162]) ).

cnf(c_0_178,negated_conjecture,
    ( zero(in1(and1(h1(f))))
    | ~ halfadder(h1(f))
    | ~ zero(outs(h1(f)))
    | ~ zero(outc(h1(f))) ),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_179,negated_conjecture,
    ( ~ halfadder(h1(f))
    | ~ zero(out1(or1(h1(f)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167])]) ).

cnf(c_0_180,plain,
    ( connection(outs(h1(X1)),in2(h2(X1)))
    | ~ fulladder(X1) ),
    c_0_168 ).

cnf(c_0_181,plain,
    ( connection(outc(h1(X1)),in2(or1(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outch1_in2or1]) ).

cnf(c_0_182,negated_conjecture,
    ( zero(in1(and2(h2(f))))
    | zero(in2(h2(f)))
    | ~ halfadder(h2(f))
    | ~ zero(outc(h2(f))) ),
    inference(spm,[status(thm)],[c_0_169,c_0_164]) ).

cnf(c_0_183,negated_conjecture,
    ( zero(in1(or1(f)))
    | ~ abnormal(or1(f)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_171]),c_0_141])]) ).

cnf(c_0_184,plain,
    ( abnormal(or1(X1))
    | zero(in1(or1(X1)))
    | ~ fulladder(X1)
    | ~ zero(out1(or1(X1))) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_185,hypothesis,
    zero(out1(or1(f))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_141])]) ).

cnf(c_0_186,plain,
    ( connection(in1(X1),in1(and2(X1)))
    | ~ halfadder(X1) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_in1_in1and2]) ).

cnf(c_0_187,negated_conjecture,
    ~ abnormal(and2(h1(f))),
    inference(fof_simplification,[status(thm)],[diagnosis_and2h1]) ).

cnf(c_0_188,plain,
    ( zero(out1(X1))
    | ~ and_ok(X1)
    | ~ zero(in1(X1)) ),
    c_0_176 ).

cnf(c_0_189,negated_conjecture,
    ( ~ halfadder(h1(f))
    | ~ zero(outs(h1(f)))
    | ~ zero(outc(h1(f))) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_178]),c_0_179]) ).

cnf(c_0_190,plain,
    ( zero(outs(h1(X1)))
    | ~ fulladder(X1)
    | ~ zero(in2(h2(X1))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_180]) ).

cnf(c_0_191,plain,
    ( connection(outc(h1(X1)),in2(or1(X1)))
    | ~ fulladder(X1) ),
    c_0_181 ).

cnf(c_0_192,negated_conjecture,
    ( zero(in2(h2(f)))
    | ~ halfadder(h2(f))
    | ~ one(in1(and2(h2(f))))
    | ~ zero(outc(h2(f))) ),
    inference(spm,[status(thm)],[c_0_88,c_0_182]) ).

cnf(c_0_193,plain,
    ( zero(outc(h2(X1)))
    | ~ fulladder(X1)
    | ~ zero(in1(or1(X1))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_124]) ).

cnf(c_0_194,negated_conjecture,
    zero(in1(or1(f))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_141]),c_0_185])]) ).

cnf(c_0_195,plain,
    ( connection(in1(X1),in1(and2(X1)))
    | ~ halfadder(X1) ),
    c_0_186 ).

cnf(c_0_196,negated_conjecture,
    ~ abnormal(and2(h1(f))),
    c_0_187 ).

cnf(c_0_197,plain,
    ( abnormal(and2(X1))
    | zero(out1(and2(X1)))
    | ~ halfadder(X1)
    | ~ zero(in1(and2(X1))) ),
    inference(spm,[status(thm)],[c_0_188,c_0_123]) ).

cnf(c_0_198,negated_conjecture,
    ( ~ halfadder(h1(f))
    | ~ zero(outc(h1(f)))
    | ~ zero(in2(h2(f))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_190]),c_0_141])]) ).

cnf(c_0_199,plain,
    ( zero(outc(h1(X1)))
    | ~ fulladder(X1)
    | ~ zero(in2(or1(X1))) ),
    inference(spm,[status(thm)],[c_0_72,c_0_191]) ).

cnf(c_0_200,negated_conjecture,
    ( zero(in2(h2(f)))
    | ~ halfadder(h2(f))
    | ~ one(in1(and2(h2(f)))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_141]),c_0_194])]) ).

cnf(c_0_201,plain,
    ( one(in1(and2(X1)))
    | ~ halfadder(X1)
    | ~ one(in1(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_195]) ).

cnf(c_0_202,negated_conjecture,
    ( zero(out1(and2(h1(f))))
    | ~ halfadder(h1(f))
    | ~ zero(in1(and2(h1(f)))) ),
    inference(spm,[status(thm)],[c_0_196,c_0_197]) ).

cnf(c_0_203,negated_conjecture,
    ( ~ halfadder(h1(f))
    | ~ zero(in2(h2(f)))
    | ~ zero(in2(or1(f))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_199]),c_0_141])]) ).

cnf(c_0_204,negated_conjecture,
    ( zero(in2(h2(f)))
    | ~ halfadder(h2(f))
    | ~ one(in1(h2(f))) ),
    inference(spm,[status(thm)],[c_0_200,c_0_201]) ).

cnf(c_0_205,negated_conjecture,
    ( zero(outc(h1(f)))
    | ~ halfadder(h1(f))
    | ~ zero(in1(and2(h1(f)))) ),
    inference(spm,[status(thm)],[c_0_111,c_0_202]) ).

cnf(c_0_206,plain,
    ( zero(in1(and2(X1)))
    | ~ halfadder(X1)
    | ~ zero(in1(X1)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_195]) ).

cnf(c_0_207,negated_conjecture,
    ( ~ halfadder(h1(f))
    | ~ halfadder(h2(f))
    | ~ one(in1(h2(f)))
    | ~ zero(in2(or1(f))) ),
    inference(spm,[status(thm)],[c_0_203,c_0_204]) ).

cnf(c_0_208,plain,
    ( halfadder(h1(X1))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_halfadder1]) ).

cnf(c_0_209,plain,
    ( zero(in2(or1(X1)))
    | ~ fulladder(X1)
    | ~ zero(outc(h1(X1))) ),
    inference(spm,[status(thm)],[c_0_116,c_0_191]) ).

cnf(c_0_210,negated_conjecture,
    ( zero(outc(h1(f)))
    | ~ halfadder(h1(f))
    | ~ zero(in1(h1(f))) ),
    inference(spm,[status(thm)],[c_0_205,c_0_206]) ).

cnf(c_0_211,negated_conjecture,
    ( ~ halfadder(h1(f))
    | ~ one(in1(h2(f)))
    | ~ zero(in2(or1(f))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_171]),c_0_141])]) ).

cnf(c_0_212,plain,
    ( halfadder(h1(X1))
    | ~ fulladder(X1) ),
    c_0_208 ).

cnf(c_0_213,negated_conjecture,
    ( zero(in2(or1(f)))
    | ~ halfadder(h1(f))
    | ~ zero(in1(h1(f))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_210]),c_0_141])]) ).

cnf(c_0_214,plain,
    ( connection(in2(X1),in1(h1(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_in2_in1h1]) ).

cnf(c_0_215,negated_conjecture,
    ( ~ one(in1(h2(f)))
    | ~ zero(in2(or1(f))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_212]),c_0_141])]) ).

cnf(c_0_216,negated_conjecture,
    ( zero(in2(or1(f)))
    | ~ zero(in1(h1(f))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_212]),c_0_141])]) ).

cnf(c_0_217,plain,
    ( connection(in2(X1),in1(h1(X1)))
    | ~ fulladder(X1) ),
    c_0_214 ).

cnf(c_0_218,plain,
    ( connection(in1(X1),in1(h2(X1)))
    | ~ fulladder(X1) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_in1_in1h2]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ one(in1(h2(f)))
    | ~ zero(in1(h1(f))) ),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_220,plain,
    ( zero(in1(h1(X1)))
    | ~ fulladder(X1)
    | ~ zero(in2(X1)) ),
    inference(spm,[status(thm)],[c_0_116,c_0_217]) ).

cnf(c_0_221,hypothesis,
    zero(in2(f)),
    in2_0 ).

cnf(c_0_222,plain,
    ( connection(in1(X1),in1(h2(X1)))
    | ~ fulladder(X1) ),
    c_0_218 ).

cnf(c_0_223,negated_conjecture,
    ~ one(in1(h2(f))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_219,c_0_220]),c_0_141]),c_0_221])]) ).

cnf(c_0_224,plain,
    ( one(in1(h2(X1)))
    | ~ fulladder(X1)
    | ~ one(in1(X1)) ),
    inference(spm,[status(thm)],[c_0_101,c_0_222]) ).

cnf(c_0_225,hypothesis,
    one(in1(f)),
    in1_1 ).

cnf(c_0_226,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_223,c_0_224]),c_0_141]),c_0_225])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : HWV006-2 : TPTP v8.2.0. Bugfixed v2.7.0.
% 0.03/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sun May 19 10:40:38 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 0.21/0.49  Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.55  # Version: 3.1.0
% 0.21/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # sh5l with pid 30736 completed with status 0
% 0.21/0.55  # Result found by sh5l
% 0.21/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.55  # Search class: FGHNF-FFMM11-SFFFFFNN
% 0.21/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55  # SAT001_MinMin_p005000_rr_RG with pid 30739 completed with status 0
% 0.21/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.55  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.55  # Search class: FGHNF-FFMM11-SFFFFFNN
% 0.21/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55  # Preprocessing time       : 0.001 s
% 0.21/0.55  # Presaturation interreduction done
% 0.21/0.55  
% 0.21/0.55  # Proof found!
% 0.21/0.55  # SZS status Unsatisfiable
% 0.21/0.55  # SZS output start CNFRefutation
% See solution above
% 0.21/0.55  # Parsed axioms                        : 64
% 0.21/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.55  # Initial clauses                      : 64
% 0.21/0.55  # Removed in clause preprocessing      : 0
% 0.21/0.55  # Initial clauses in saturation        : 64
% 0.21/0.55  # Processed clauses                    : 682
% 0.21/0.55  # ...of these trivial                  : 0
% 0.21/0.55  # ...subsumed                          : 164
% 0.21/0.55  # ...remaining for further processing  : 518
% 0.21/0.55  # Other redundant clauses eliminated   : 0
% 0.21/0.55  # Clauses deleted for lack of memory   : 0
% 0.21/0.55  # Backward-subsumed                    : 67
% 0.21/0.55  # Backward-rewritten                   : 2
% 0.21/0.55  # Generated clauses                    : 715
% 0.21/0.55  # ...of the previous two non-redundant : 615
% 0.21/0.55  # ...aggressively subsumed             : 0
% 0.21/0.55  # Contextual simplify-reflections      : 11
% 0.21/0.55  # Paramodulations                      : 715
% 0.21/0.55  # Factorizations                       : 0
% 0.21/0.55  # NegExts                              : 0
% 0.21/0.55  # Equation resolutions                 : 0
% 0.21/0.55  # Disequality decompositions           : 0
% 0.21/0.55  # Total rewrite steps                  : 134
% 0.21/0.55  # ...of those cached                   : 127
% 0.21/0.55  # Propositional unsat checks           : 0
% 0.21/0.55  #    Propositional check models        : 0
% 0.21/0.55  #    Propositional check unsatisfiable : 0
% 0.21/0.55  #    Propositional clauses             : 0
% 0.21/0.55  #    Propositional clauses after purity: 0
% 0.21/0.55  #    Propositional unsat core size     : 0
% 0.21/0.55  #    Propositional preprocessing time  : 0.000
% 0.21/0.55  #    Propositional encoding time       : 0.000
% 0.21/0.55  #    Propositional solver time         : 0.000
% 0.21/0.55  #    Success case prop preproc time    : 0.000
% 0.21/0.55  #    Success case prop encoding time   : 0.000
% 0.21/0.55  #    Success case prop solver time     : 0.000
% 0.21/0.55  # Current number of processed clauses  : 385
% 0.21/0.55  #    Positive orientable unit clauses  : 9
% 0.21/0.55  #    Positive unorientable unit clauses: 0
% 0.21/0.55  #    Negative unit clauses             : 11
% 0.21/0.55  #    Non-unit-clauses                  : 365
% 0.21/0.55  # Current number of unprocessed clauses: 29
% 0.21/0.55  # ...number of literals in the above   : 130
% 0.21/0.55  # Current number of archived formulas  : 0
% 0.21/0.55  # Current number of archived clauses   : 133
% 0.21/0.55  # Clause-clause subsumption calls (NU) : 17935
% 0.21/0.55  # Rec. Clause-clause subsumption calls : 9361
% 0.21/0.55  # Non-unit clause-clause subsumptions  : 215
% 0.21/0.55  # Unit Clause-clause subsumption calls : 233
% 0.21/0.55  # Rewrite failures with RHS unbound    : 0
% 0.21/0.55  # BW rewrite match attempts            : 5
% 0.21/0.55  # BW rewrite match successes           : 1
% 0.21/0.55  # Condensation attempts                : 0
% 0.21/0.55  # Condensation successes               : 0
% 0.21/0.55  # Termbank termtop insertions          : 14310
% 0.21/0.55  # Search garbage collected termcells   : 115
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.045 s
% 0.21/0.55  # System time              : 0.002 s
% 0.21/0.55  # Total time               : 0.048 s
% 0.21/0.55  # Maximum resident set size: 1744 pages
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.047 s
% 0.21/0.55  # System time              : 0.006 s
% 0.21/0.55  # Total time               : 0.052 s
% 0.21/0.55  # Maximum resident set size: 1748 pages
% 0.21/0.55  % E---3.1 exiting
% 0.21/0.55  % E exiting
%------------------------------------------------------------------------------