TSTP Solution File: HWV006-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : HWV006-1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 0.51s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   48
% Syntax   : Number of clauses     :  240 (  88 unt;  17 nHn; 240 RR)
%            Number of literals    :  461 (   0 equ; 228 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  13 con; 0-2 aty)
%            Number of variables   :  154 (  11 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(fulladder_halfadder1,axiom,
    ( type(h1(X1),halfadder)
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).

cnf(fulladder_connection_in2_in1h1,axiom,
    ( connection(in(n2,X1),in(n1,h1(X1)))
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in2_in1h1) ).

cnf(fulladder_halfadder2,axiom,
    ( type(h2(X1),halfadder)
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder2) ).

cnf(fulladder_connection_outs_outsh2,axiom,
    ( connection(out(s,X1),out(s,h2(X1)))
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outs_outsh2) ).

cnf(halfadder_and2,axiom,
    ( type(and2(X1),and)
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).

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

cnf(halfadder_connection_in1_in1and2,axiom,
    ( connection(in(n1,X1),in(n1,and2(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1and2) ).

cnf(value_propagation1,axiom,
    ( value(X2,X3)
    | ~ connection(X1,X2)
    | ~ value(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).

cnf(halfadder_connection_outs_out1and1,axiom,
    ( connection(out(s,X1),out(n1,and1(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outs_out1and1) ).

cnf(fulladder_or1,axiom,
    ( type(or1(X1),or)
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).

cnf(ok_or_abnormal,axiom,
    ( mode(X1,ok)
    | mode(X1,abnormal)
    | ~ type(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',ok_or_abnormal) ).

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

cnf(halfadder_and1,axiom,
    ( type(and1(X1),and)
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_and1) ).

cnf(halfadder_connection_out1and2_in1not1,axiom,
    ( connection(out(n1,and2(X1)),in(n1,not1(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1and2_in1not1) ).

cnf(and_0x_0,axiom,
    ( value(out(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(in(X2,X1),n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_0x_0) ).

cnf(in2_0,hypothesis,
    value(in(n2,f),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).

cnf(fulladder_connection_inc_in2h1,axiom,
    ( connection(in(c,X1),in(n2,h1(X1)))
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_inc_in2h1) ).

cnf(outs_1,hypothesis,
    value(out(s,f),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).

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

cnf(halfadder_not1,axiom,
    ( type(not1(X1),not)
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_not1) ).

cnf(halfadder_or1,axiom,
    ( type(or1(X1),or)
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_or1) ).

cnf(halfadder_connection_in2_in2or1,axiom,
    ( connection(in(n2,X1),in(n2,or1(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2or1) ).

cnf(halfadder_connection_out1not1_in2and1,axiom,
    ( connection(out(n1,not1(X1)),in(n2,and1(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1not1_in2and1) ).

cnf(and_1_x1,axiom,
    ( value(in(n2,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(out(n1,X1),n1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_1_x1) ).

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

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

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

cnf(value_propagation2,axiom,
    ( value(X1,X3)
    | ~ connection(X1,X2)
    | ~ value(X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).

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

cnf(not_0_1_fw,axiom,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,not)
    | ~ value(in(n1,X1),n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',not_0_1_fw) ).

cnf(halfadder_connection_out1or1_in1_and1,axiom,
    ( connection(out(n1,or1(X1)),in(n1,and1(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_out1or1_in1_and1) ).

cnf(or_1x_1,axiom,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,or)
    | ~ value(in(X2,X1),n1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_1x_1) ).

cnf(inc_1,hypothesis,
    value(in(c,f),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).

cnf(not_1_0_bw,axiom,
    ( value(in(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,not)
    | ~ value(out(n1,X1),n1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',not_1_0_bw) ).

cnf(fulladder_connection_outc_out1or1,axiom,
    ( connection(out(c,X1),out(n1,or1(X1)))
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outc_out1or1) ).

cnf(and_11_1,axiom,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(in(n1,X1),n1)
    | ~ value(in(n2,X1),n1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_11_1) ).

cnf(halfadder_connection_outc_out1and2,axiom,
    ( connection(out(c,X1),out(n1,and2(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_outc_out1and2) ).

cnf(fulladder_connection_outch2_in1or1,axiom,
    ( connection(out(c,h2(X1)),in(n1,or1(X1)))
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch2_in1or1) ).

cnf(or_0_0x,axiom,
    ( value(in(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,or)
    | ~ value(out(n1,X1),n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_0_0x) ).

cnf(fulladder_connection_outsh1_in2h2,axiom,
    ( connection(out(s,h1(X1)),in(n2,h2(X1)))
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outsh1_in2h2) ).

cnf(outc_0,hypothesis,
    value(out(c,f),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).

cnf(fulladder_connection_in1_in1h2,axiom,
    ( connection(in(n1,X1),in(n1,h2(X1)))
    | ~ type(X1,fulladder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_in1_in1h2) ).

cnf(halfadder_connection_in2_in2and2,axiom,
    ( connection(in(n2,X1),in(n2,and2(X1)))
    | ~ type(X1,halfadder) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in2_in2and2) ).

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

cnf(in1_1,hypothesis,
    value(in(n1,f),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).

cnf(unique_value,axiom,
    ( equal_value(X2,X3)
    | ~ value(X1,X2)
    | ~ value(X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',unique_value) ).

cnf(and_0_00,axiom,
    ( value(in(n1,X1),n0)
    | value(in(n2,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(out(n1,X1),n0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_0_00) ).

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

cnf(c_0_48,plain,
    ( type(h1(X1),halfadder)
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_halfadder1]) ).

cnf(c_0_49,plain,
    ( connection(in(n2,X1),in(n1,h1(X1)))
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_in2_in1h1]) ).

cnf(c_0_50,plain,
    ( type(h2(X1),halfadder)
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_halfadder2]) ).

cnf(c_0_51,plain,
    ( connection(out(s,X1),out(s,h2(X1)))
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outs_outsh2]) ).

cnf(c_0_52,plain,
    ( type(and2(X1),and)
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_and2]) ).

cnf(c_0_53,plain,
    ( type(h1(X1),halfadder)
    | ~ type(X1,fulladder) ),
    c_0_48 ).

cnf(c_0_54,hypothesis,
    type(f,fulladder),
    f_isa_fulladder ).

cnf(c_0_55,plain,
    ( connection(in(n1,X1),in(n1,and2(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_in1_in1and2]) ).

cnf(c_0_56,plain,
    ( value(X2,X3)
    | ~ connection(X1,X2)
    | ~ value(X1,X3) ),
    inference(fof_simplification,[status(thm)],[value_propagation1]) ).

cnf(c_0_57,plain,
    ( connection(in(n2,X1),in(n1,h1(X1)))
    | ~ type(X1,fulladder) ),
    c_0_49 ).

cnf(c_0_58,plain,
    ( connection(out(s,X1),out(n1,and1(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_outs_out1and1]) ).

cnf(c_0_59,plain,
    ( type(h2(X1),halfadder)
    | ~ type(X1,fulladder) ),
    c_0_50 ).

cnf(c_0_60,plain,
    ( connection(out(s,X1),out(s,h2(X1)))
    | ~ type(X1,fulladder) ),
    c_0_51 ).

cnf(c_0_61,plain,
    ( type(or1(X1),or)
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_or1]) ).

cnf(c_0_62,plain,
    ( mode(X1,ok)
    | mode(X1,abnormal)
    | ~ type(X1,X2) ),
    inference(fof_simplification,[status(thm)],[ok_or_abnormal]) ).

cnf(c_0_63,plain,
    ( type(and2(X1),and)
    | ~ type(X1,halfadder) ),
    c_0_52 ).

cnf(c_0_64,hypothesis,
    type(h1(f),halfadder),
    inference(spm,[status(thm)],[c_0_53,c_0_54]) ).

cnf(c_0_65,negated_conjecture,
    ~ mode(and2(h1(f)),abnormal),
    inference(fof_simplification,[status(thm)],[diagnosis_and2h1]) ).

cnf(c_0_66,plain,
    ( connection(in(n1,X1),in(n1,and2(X1)))
    | ~ type(X1,halfadder) ),
    c_0_55 ).

cnf(c_0_67,plain,
    ( value(X2,X3)
    | ~ connection(X1,X2)
    | ~ value(X1,X3) ),
    c_0_56 ).

cnf(c_0_68,hypothesis,
    connection(in(n2,f),in(n1,h1(f))),
    inference(spm,[status(thm)],[c_0_57,c_0_54]) ).

cnf(c_0_69,plain,
    ( connection(out(s,X1),out(n1,and1(X1)))
    | ~ type(X1,halfadder) ),
    c_0_58 ).

cnf(c_0_70,hypothesis,
    type(h2(f),halfadder),
    inference(spm,[status(thm)],[c_0_59,c_0_54]) ).

cnf(c_0_71,hypothesis,
    connection(out(s,f),out(s,h2(f))),
    inference(spm,[status(thm)],[c_0_60,c_0_54]) ).

cnf(c_0_72,plain,
    ( type(or1(X1),or)
    | ~ type(X1,fulladder) ),
    c_0_61 ).

cnf(c_0_73,plain,
    ( type(and1(X1),and)
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_and1]) ).

cnf(c_0_74,plain,
    ( connection(out(n1,and2(X1)),in(n1,not1(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_out1and2_in1not1]) ).

cnf(c_0_75,plain,
    ( value(out(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(in(X2,X1),n0) ),
    inference(fof_simplification,[status(thm)],[and_0x_0]) ).

cnf(c_0_76,plain,
    ( mode(X1,ok)
    | mode(X1,abnormal)
    | ~ type(X1,X2) ),
    c_0_62 ).

cnf(c_0_77,hypothesis,
    type(and2(h1(f)),and),
    inference(spm,[status(thm)],[c_0_63,c_0_64]) ).

cnf(c_0_78,negated_conjecture,
    ~ mode(and2(h1(f)),abnormal),
    c_0_65 ).

cnf(c_0_79,hypothesis,
    connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
    inference(spm,[status(thm)],[c_0_66,c_0_64]) ).

cnf(c_0_80,hypothesis,
    ( value(in(n1,h1(f)),X1)
    | ~ value(in(n2,f),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_81,hypothesis,
    value(in(n2,f),n0),
    in2_0 ).

cnf(c_0_82,plain,
    ( connection(in(c,X1),in(n2,h1(X1)))
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_inc_in2h1]) ).

cnf(c_0_83,hypothesis,
    connection(out(s,h2(f)),out(n1,and1(h2(f)))),
    inference(spm,[status(thm)],[c_0_69,c_0_70]) ).

cnf(c_0_84,hypothesis,
    ( value(out(s,h2(f)),X1)
    | ~ value(out(s,f),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_71]) ).

cnf(c_0_85,hypothesis,
    value(out(s,f),n1),
    outs_1 ).

cnf(c_0_86,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(and1(h2(f)),abnormal) ),
    inference(fof_simplification,[status(thm)],[diagnosis_or1_and1h2]) ).

cnf(c_0_87,hypothesis,
    type(or1(f),or),
    inference(spm,[status(thm)],[c_0_72,c_0_54]) ).

cnf(c_0_88,plain,
    ( type(and1(X1),and)
    | ~ type(X1,halfadder) ),
    c_0_73 ).

cnf(c_0_89,plain,
    ( type(not1(X1),not)
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_not1]) ).

cnf(c_0_90,plain,
    ( connection(out(n1,and2(X1)),in(n1,not1(X1)))
    | ~ type(X1,halfadder) ),
    c_0_74 ).

cnf(c_0_91,plain,
    ( value(out(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(in(X2,X1),n0) ),
    c_0_75 ).

cnf(c_0_92,hypothesis,
    mode(and2(h1(f)),ok),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

cnf(c_0_93,hypothesis,
    ( value(in(n1,and2(h1(f))),X1)
    | ~ value(in(n1,h1(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_79]) ).

cnf(c_0_94,hypothesis,
    value(in(n1,h1(f)),n0),
    inference(spm,[status(thm)],[c_0_80,c_0_81]) ).

cnf(c_0_95,plain,
    ( type(or1(X1),or)
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_or1]) ).

cnf(c_0_96,plain,
    ( connection(in(n2,X1),in(n2,or1(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2or1]) ).

cnf(c_0_97,plain,
    ( connection(in(c,X1),in(n2,h1(X1)))
    | ~ type(X1,fulladder) ),
    c_0_82 ).

cnf(c_0_98,plain,
    ( connection(out(n1,not1(X1)),in(n2,and1(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_out1not1_in2and1]) ).

cnf(c_0_99,plain,
    ( value(in(n2,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(out(n1,X1),n1) ),
    inference(fof_simplification,[status(thm)],[and_1_x1]) ).

cnf(c_0_100,hypothesis,
    ( value(out(n1,and1(h2(f))),X1)
    | ~ value(out(s,h2(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_83]) ).

cnf(c_0_101,hypothesis,
    value(out(s,h2(f)),n1),
    inference(spm,[status(thm)],[c_0_84,c_0_85]) ).

cnf(c_0_102,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(and1(h2(f)),abnormal) ),
    c_0_86 ).

cnf(c_0_103,hypothesis,
    ( mode(or1(f),abnormal)
    | mode(or1(f),ok) ),
    inference(spm,[status(thm)],[c_0_76,c_0_87]) ).

cnf(c_0_104,hypothesis,
    type(and1(h2(f)),and),
    inference(spm,[status(thm)],[c_0_88,c_0_70]) ).

cnf(c_0_105,plain,
    ( type(not1(X1),not)
    | ~ type(X1,halfadder) ),
    c_0_89 ).

cnf(c_0_106,negated_conjecture,
    ~ mode(not1(h1(f)),abnormal),
    inference(fof_simplification,[status(thm)],[diagnosis_not1h1]) ).

cnf(c_0_107,hypothesis,
    connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
    inference(spm,[status(thm)],[c_0_90,c_0_64]) ).

cnf(c_0_108,hypothesis,
    ( value(out(n1,and2(h1(f))),n0)
    | ~ value(in(X1,and2(h1(f))),n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_77]),c_0_92])]) ).

cnf(c_0_109,hypothesis,
    value(in(n1,and2(h1(f))),n0),
    inference(spm,[status(thm)],[c_0_93,c_0_94]) ).

cnf(c_0_110,plain,
    ( type(or1(X1),or)
    | ~ type(X1,halfadder) ),
    c_0_95 ).

cnf(c_0_111,negated_conjecture,
    ~ mode(or1(h1(f)),abnormal),
    inference(fof_simplification,[status(thm)],[diagnosis_or1h1]) ).

cnf(c_0_112,plain,
    ( connection(in(n2,X1),in(n2,or1(X1)))
    | ~ type(X1,halfadder) ),
    c_0_96 ).

cnf(c_0_113,hypothesis,
    connection(in(c,f),in(n2,h1(f))),
    inference(spm,[status(thm)],[c_0_97,c_0_54]) ).

cnf(c_0_114,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(not1(h2(f)),abnormal) ),
    inference(fof_simplification,[status(thm)],[diagnosis_or1_not1h2]) ).

cnf(c_0_115,plain,
    ( value(X1,X3)
    | ~ connection(X1,X2)
    | ~ value(X2,X3) ),
    inference(fof_simplification,[status(thm)],[value_propagation2]) ).

cnf(c_0_116,plain,
    ( connection(out(n1,not1(X1)),in(n2,and1(X1)))
    | ~ type(X1,halfadder) ),
    c_0_98 ).

cnf(c_0_117,plain,
    ( value(in(n2,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(out(n1,X1),n1) ),
    c_0_99 ).

cnf(c_0_118,hypothesis,
    value(out(n1,and1(h2(f))),n1),
    inference(spm,[status(thm)],[c_0_100,c_0_101]) ).

cnf(c_0_119,negated_conjecture,
    ( mode(or1(f),ok)
    | ~ mode(and1(h2(f)),abnormal) ),
    inference(spm,[status(thm)],[c_0_102,c_0_103]) ).

cnf(c_0_120,hypothesis,
    ( mode(and1(h2(f)),abnormal)
    | mode(and1(h2(f)),ok) ),
    inference(spm,[status(thm)],[c_0_76,c_0_104]) ).

cnf(c_0_121,negated_conjecture,
    ~ mode(and1(h1(f)),abnormal),
    inference(fof_simplification,[status(thm)],[diagnosis_and1h1]) ).

cnf(c_0_122,plain,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,not)
    | ~ value(in(n1,X1),n0) ),
    inference(fof_simplification,[status(thm)],[not_0_1_fw]) ).

cnf(c_0_123,hypothesis,
    type(not1(h1(f)),not),
    inference(spm,[status(thm)],[c_0_105,c_0_64]) ).

cnf(c_0_124,negated_conjecture,
    ~ mode(not1(h1(f)),abnormal),
    c_0_106 ).

cnf(c_0_125,hypothesis,
    ( value(in(n1,not1(h1(f))),X1)
    | ~ value(out(n1,and2(h1(f))),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_107]) ).

cnf(c_0_126,hypothesis,
    value(out(n1,and2(h1(f))),n0),
    inference(spm,[status(thm)],[c_0_108,c_0_109]) ).

cnf(c_0_127,plain,
    ( connection(out(n1,or1(X1)),in(n1,and1(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_out1or1_in1_and1]) ).

cnf(c_0_128,plain,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,or)
    | ~ value(in(X2,X1),n1) ),
    inference(fof_simplification,[status(thm)],[or_1x_1]) ).

cnf(c_0_129,hypothesis,
    type(or1(h1(f)),or),
    inference(spm,[status(thm)],[c_0_110,c_0_64]) ).

cnf(c_0_130,negated_conjecture,
    ~ mode(or1(h1(f)),abnormal),
    c_0_111 ).

cnf(c_0_131,hypothesis,
    connection(in(n2,h1(f)),in(n2,or1(h1(f)))),
    inference(spm,[status(thm)],[c_0_112,c_0_64]) ).

cnf(c_0_132,hypothesis,
    ( value(in(n2,h1(f)),X1)
    | ~ value(in(c,f),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_113]) ).

cnf(c_0_133,hypothesis,
    value(in(c,f),n1),
    inc_1 ).

cnf(c_0_134,plain,
    ( value(in(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,not)
    | ~ value(out(n1,X1),n1) ),
    inference(fof_simplification,[status(thm)],[not_1_0_bw]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ mode(or1(f),abnormal)
    | ~ mode(not1(h2(f)),abnormal) ),
    c_0_114 ).

cnf(c_0_136,hypothesis,
    type(not1(h2(f)),not),
    inference(spm,[status(thm)],[c_0_105,c_0_70]) ).

cnf(c_0_137,plain,
    ( value(X1,X3)
    | ~ connection(X1,X2)
    | ~ value(X2,X3) ),
    c_0_115 ).

cnf(c_0_138,hypothesis,
    connection(out(n1,not1(h2(f))),in(n2,and1(h2(f)))),
    inference(spm,[status(thm)],[c_0_116,c_0_70]) ).

cnf(c_0_139,hypothesis,
    ( value(in(n2,and1(h2(f))),n1)
    | ~ mode(and1(h2(f)),ok) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_104]),c_0_118])]) ).

cnf(c_0_140,negated_conjecture,
    ( mode(and1(h2(f)),ok)
    | mode(or1(f),ok) ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_141,plain,
    ( connection(out(c,X1),out(n1,or1(X1)))
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outc_out1or1]) ).

cnf(c_0_142,plain,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(in(n1,X1),n1)
    | ~ value(in(n2,X1),n1) ),
    inference(fof_simplification,[status(thm)],[and_11_1]) ).

cnf(c_0_143,hypothesis,
    type(and1(h1(f)),and),
    inference(spm,[status(thm)],[c_0_88,c_0_64]) ).

cnf(c_0_144,negated_conjecture,
    ~ mode(and1(h1(f)),abnormal),
    c_0_121 ).

cnf(c_0_145,hypothesis,
    connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
    inference(spm,[status(thm)],[c_0_116,c_0_64]) ).

cnf(c_0_146,plain,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,not)
    | ~ value(in(n1,X1),n0) ),
    c_0_122 ).

cnf(c_0_147,hypothesis,
    mode(not1(h1(f)),ok),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_123]),c_0_124]) ).

cnf(c_0_148,hypothesis,
    value(in(n1,not1(h1(f))),n0),
    inference(spm,[status(thm)],[c_0_125,c_0_126]) ).

cnf(c_0_149,plain,
    ( connection(out(n1,or1(X1)),in(n1,and1(X1)))
    | ~ type(X1,halfadder) ),
    c_0_127 ).

cnf(c_0_150,plain,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,or)
    | ~ value(in(X2,X1),n1) ),
    c_0_128 ).

cnf(c_0_151,hypothesis,
    mode(or1(h1(f)),ok),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_129]),c_0_130]) ).

cnf(c_0_152,hypothesis,
    ( value(in(n2,or1(h1(f))),X1)
    | ~ value(in(n2,h1(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_131]) ).

cnf(c_0_153,hypothesis,
    value(in(n2,h1(f)),n1),
    inference(spm,[status(thm)],[c_0_132,c_0_133]) ).

cnf(c_0_154,plain,
    ( connection(out(c,X1),out(n1,and2(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_outc_out1and2]) ).

cnf(c_0_155,plain,
    ( value(in(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,not)
    | ~ value(out(n1,X1),n1) ),
    c_0_134 ).

cnf(c_0_156,negated_conjecture,
    ( mode(or1(f),ok)
    | ~ mode(not1(h2(f)),abnormal) ),
    inference(spm,[status(thm)],[c_0_135,c_0_103]) ).

cnf(c_0_157,hypothesis,
    ( mode(not1(h2(f)),abnormal)
    | mode(not1(h2(f)),ok) ),
    inference(spm,[status(thm)],[c_0_76,c_0_136]) ).

cnf(c_0_158,hypothesis,
    ( value(out(n1,not1(h2(f))),X1)
    | ~ value(in(n2,and1(h2(f))),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]) ).

cnf(c_0_159,negated_conjecture,
    ( mode(or1(f),ok)
    | value(in(n2,and1(h2(f))),n1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_160,plain,
    ( connection(out(c,X1),out(n1,or1(X1)))
    | ~ type(X1,fulladder) ),
    c_0_141 ).

cnf(c_0_161,plain,
    ( value(out(n1,X1),n1)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(in(n1,X1),n1)
    | ~ value(in(n2,X1),n1) ),
    c_0_142 ).

cnf(c_0_162,hypothesis,
    mode(and1(h1(f)),ok),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_143]),c_0_144]) ).

cnf(c_0_163,hypothesis,
    ( value(in(n2,and1(h1(f))),X1)
    | ~ value(out(n1,not1(h1(f))),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_145]) ).

cnf(c_0_164,hypothesis,
    value(out(n1,not1(h1(f))),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_146,c_0_123]),c_0_147]),c_0_148])]) ).

cnf(c_0_165,hypothesis,
    connection(out(n1,or1(h1(f))),in(n1,and1(h1(f)))),
    inference(spm,[status(thm)],[c_0_149,c_0_64]) ).

cnf(c_0_166,hypothesis,
    ( value(out(n1,or1(h1(f))),n1)
    | ~ value(in(X1,or1(h1(f))),n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_129]),c_0_151])]) ).

cnf(c_0_167,hypothesis,
    value(in(n2,or1(h1(f))),n1),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

cnf(c_0_168,plain,
    ( connection(out(c,h2(X1)),in(n1,or1(X1)))
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outch2_in1or1]) ).

cnf(c_0_169,plain,
    ( connection(out(c,X1),out(n1,and2(X1)))
    | ~ type(X1,halfadder) ),
    c_0_154 ).

cnf(c_0_170,hypothesis,
    connection(out(n1,and2(h2(f))),in(n1,not1(h2(f)))),
    inference(spm,[status(thm)],[c_0_90,c_0_70]) ).

cnf(c_0_171,hypothesis,
    ( value(in(n1,not1(h2(f))),n0)
    | ~ mode(not1(h2(f)),ok)
    | ~ value(out(n1,not1(h2(f))),n1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_136]) ).

cnf(c_0_172,negated_conjecture,
    ( mode(not1(h2(f)),ok)
    | mode(or1(f),ok) ),
    inference(spm,[status(thm)],[c_0_156,c_0_157]) ).

cnf(c_0_173,hypothesis,
    ( mode(or1(f),ok)
    | value(out(n1,not1(h2(f))),n1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_174,plain,
    ( value(in(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,or)
    | ~ value(out(n1,X1),n0) ),
    inference(fof_simplification,[status(thm)],[or_0_0x]) ).

cnf(c_0_175,hypothesis,
    connection(out(c,f),out(n1,or1(f))),
    inference(spm,[status(thm)],[c_0_160,c_0_54]) ).

cnf(c_0_176,plain,
    ( connection(out(s,h1(X1)),in(n2,h2(X1)))
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_outsh1_in2h2]) ).

cnf(c_0_177,hypothesis,
    ( value(out(n1,and1(h1(f))),n1)
    | ~ value(in(n1,and1(h1(f))),n1)
    | ~ value(in(n2,and1(h1(f))),n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_161,c_0_143]),c_0_162])]) ).

cnf(c_0_178,hypothesis,
    value(in(n2,and1(h1(f))),n1),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_179,hypothesis,
    ( value(in(n1,and1(h1(f))),X1)
    | ~ value(out(n1,or1(h1(f))),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_165]) ).

cnf(c_0_180,hypothesis,
    value(out(n1,or1(h1(f))),n1),
    inference(spm,[status(thm)],[c_0_166,c_0_167]) ).

cnf(c_0_181,plain,
    ( connection(out(c,h2(X1)),in(n1,or1(X1)))
    | ~ type(X1,fulladder) ),
    c_0_168 ).

cnf(c_0_182,hypothesis,
    connection(out(c,h2(f)),out(n1,and2(h2(f)))),
    inference(spm,[status(thm)],[c_0_169,c_0_70]) ).

cnf(c_0_183,hypothesis,
    ( value(out(n1,and2(h2(f))),X1)
    | ~ value(in(n1,not1(h2(f))),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_170]) ).

cnf(c_0_184,negated_conjecture,
    ( mode(or1(f),ok)
    | value(in(n1,not1(h2(f))),n0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).

cnf(c_0_185,plain,
    ( value(in(n1,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,or)
    | ~ value(out(n1,X1),n0) ),
    c_0_174 ).

cnf(c_0_186,hypothesis,
    ( value(out(n1,or1(f)),X1)
    | ~ value(out(c,f),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_175]) ).

cnf(c_0_187,hypothesis,
    value(out(c,f),n0),
    outc_0 ).

cnf(c_0_188,plain,
    ( connection(in(n1,X1),in(n1,h2(X1)))
    | ~ type(X1,fulladder) ),
    inference(fof_simplification,[status(thm)],[fulladder_connection_in1_in1h2]) ).

cnf(c_0_189,plain,
    ( connection(in(n2,X1),in(n2,and2(X1)))
    | ~ type(X1,halfadder) ),
    inference(fof_simplification,[status(thm)],[halfadder_connection_in2_in2and2]) ).

cnf(c_0_190,plain,
    ( connection(out(s,h1(X1)),in(n2,h2(X1)))
    | ~ type(X1,fulladder) ),
    c_0_176 ).

cnf(c_0_191,hypothesis,
    connection(out(s,h1(f)),out(n1,and1(h1(f)))),
    inference(spm,[status(thm)],[c_0_69,c_0_64]) ).

cnf(c_0_192,hypothesis,
    ( value(out(n1,and1(h1(f))),n1)
    | ~ value(in(n1,and1(h1(f))),n1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_177,c_0_178])]) ).

cnf(c_0_193,hypothesis,
    value(in(n1,and1(h1(f))),n1),
    inference(spm,[status(thm)],[c_0_179,c_0_180]) ).

cnf(c_0_194,hypothesis,
    connection(out(c,h2(f)),in(n1,or1(f))),
    inference(spm,[status(thm)],[c_0_181,c_0_54]) ).

cnf(c_0_195,hypothesis,
    ( value(out(c,h2(f)),X1)
    | ~ value(out(n1,and2(h2(f))),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_182]) ).

cnf(c_0_196,hypothesis,
    ( mode(or1(f),ok)
    | value(out(n1,and2(h2(f))),n0) ),
    inference(spm,[status(thm)],[c_0_183,c_0_184]) ).

cnf(c_0_197,hypothesis,
    ( value(in(n1,or1(f)),n0)
    | ~ mode(or1(f),ok)
    | ~ value(out(n1,or1(f)),n0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_87]) ).

cnf(c_0_198,hypothesis,
    value(out(n1,or1(f)),n0),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_199,plain,
    ( connection(in(n1,X1),in(n1,h2(X1)))
    | ~ type(X1,fulladder) ),
    c_0_188 ).

cnf(c_0_200,plain,
    ( connection(in(n2,X1),in(n2,and2(X1)))
    | ~ type(X1,halfadder) ),
    c_0_189 ).

cnf(c_0_201,hypothesis,
    connection(out(s,h1(f)),in(n2,h2(f))),
    inference(spm,[status(thm)],[c_0_190,c_0_54]) ).

cnf(c_0_202,hypothesis,
    ( value(out(s,h1(f)),X1)
    | ~ value(out(n1,and1(h1(f))),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_191]) ).

cnf(c_0_203,hypothesis,
    value(out(n1,and1(h1(f))),n1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_192,c_0_193])]) ).

cnf(c_0_204,hypothesis,
    ( value(in(n1,or1(f)),X1)
    | ~ value(out(c,h2(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_194]) ).

cnf(c_0_205,hypothesis,
    ( mode(or1(f),ok)
    | value(out(c,h2(f)),n0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_206,hypothesis,
    ( value(in(n1,or1(f)),n0)
    | ~ mode(or1(f),ok) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_197,c_0_198])]) ).

cnf(c_0_207,hypothesis,
    connection(in(n1,f),in(n1,h2(f))),
    inference(spm,[status(thm)],[c_0_199,c_0_54]) ).

cnf(c_0_208,hypothesis,
    connection(in(n2,h2(f)),in(n2,and2(h2(f)))),
    inference(spm,[status(thm)],[c_0_200,c_0_70]) ).

cnf(c_0_209,hypothesis,
    ( value(in(n2,h2(f)),X1)
    | ~ value(out(s,h1(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_201]) ).

cnf(c_0_210,hypothesis,
    value(out(s,h1(f)),n1),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_211,negated_conjecture,
    ~ mode(and2(h2(f)),abnormal),
    inference(fof_simplification,[status(thm)],[diagnosis_and2]) ).

cnf(c_0_212,hypothesis,
    ( value(out(c,h2(f)),X1)
    | ~ value(in(n1,or1(f)),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_194]) ).

cnf(c_0_213,hypothesis,
    value(in(n1,or1(f)),n0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_205]),c_0_206]) ).

cnf(c_0_214,hypothesis,
    connection(in(n1,h2(f)),in(n1,and2(h2(f)))),
    inference(spm,[status(thm)],[c_0_66,c_0_70]) ).

cnf(c_0_215,hypothesis,
    ( value(in(n1,h2(f)),X1)
    | ~ value(in(n1,f),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_207]) ).

cnf(c_0_216,hypothesis,
    value(in(n1,f),n1),
    in1_1 ).

cnf(c_0_217,plain,
    ( equal_value(X2,X3)
    | ~ value(X1,X2)
    | ~ value(X1,X3) ),
    inference(fof_simplification,[status(thm)],[unique_value]) ).

cnf(c_0_218,hypothesis,
    ( value(in(n2,and2(h2(f))),X1)
    | ~ value(in(n2,h2(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_208]) ).

cnf(c_0_219,hypothesis,
    value(in(n2,h2(f)),n1),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_220,plain,
    ( value(in(n1,X1),n0)
    | value(in(n2,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(out(n1,X1),n0) ),
    inference(fof_simplification,[status(thm)],[and_0_00]) ).

cnf(c_0_221,hypothesis,
    type(and2(h2(f)),and),
    inference(spm,[status(thm)],[c_0_63,c_0_70]) ).

cnf(c_0_222,negated_conjecture,
    ~ mode(and2(h2(f)),abnormal),
    c_0_211 ).

cnf(c_0_223,hypothesis,
    ( value(out(n1,and2(h2(f))),X1)
    | ~ value(out(c,h2(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_182]) ).

cnf(c_0_224,hypothesis,
    value(out(c,h2(f)),n0),
    inference(spm,[status(thm)],[c_0_212,c_0_213]) ).

cnf(c_0_225,hypothesis,
    ( value(in(n1,and2(h2(f))),X1)
    | ~ value(in(n1,h2(f)),X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_214]) ).

cnf(c_0_226,hypothesis,
    value(in(n1,h2(f)),n1),
    inference(spm,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_227,plain,
    ( equal_value(X2,X3)
    | ~ value(X1,X2)
    | ~ value(X1,X3) ),
    c_0_217 ).

cnf(c_0_228,hypothesis,
    value(in(n2,and2(h2(f))),n1),
    inference(spm,[status(thm)],[c_0_218,c_0_219]) ).

cnf(c_0_229,plain,
    ( value(in(n1,X1),n0)
    | value(in(n2,X1),n0)
    | ~ mode(X1,ok)
    | ~ type(X1,and)
    | ~ value(out(n1,X1),n0) ),
    c_0_220 ).

cnf(c_0_230,hypothesis,
    mode(and2(h2(f)),ok),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_221]),c_0_222]) ).

cnf(c_0_231,hypothesis,
    value(out(n1,and2(h2(f))),n0),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

cnf(c_0_232,plain,
    ~ equal_value(n0,n1),
    inference(fof_simplification,[status(thm)],[equal_value1]) ).

cnf(c_0_233,hypothesis,
    value(in(n1,and2(h2(f))),n1),
    inference(spm,[status(thm)],[c_0_225,c_0_226]) ).

cnf(c_0_234,hypothesis,
    ( equal_value(X1,n1)
    | ~ value(in(n2,and2(h2(f))),X1) ),
    inference(spm,[status(thm)],[c_0_227,c_0_228]) ).

cnf(c_0_235,hypothesis,
    ( value(in(n2,and2(h2(f))),n0)
    | value(in(n1,and2(h2(f))),n0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_221]),c_0_230]),c_0_231])]) ).

cnf(c_0_236,plain,
    ~ equal_value(n0,n1),
    c_0_232 ).

cnf(c_0_237,hypothesis,
    ( equal_value(X1,n1)
    | ~ value(in(n1,and2(h2(f))),X1) ),
    inference(spm,[status(thm)],[c_0_227,c_0_233]) ).

cnf(c_0_238,hypothesis,
    value(in(n1,and2(h2(f))),n0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_234,c_0_235]),c_0_236]) ).

cnf(c_0_239,hypothesis,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_238]),c_0_236]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : HWV006-1 : TPTP v8.2.0. Released v2.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 11:20:37 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  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
% 0.21/0.51  # Version: 3.1.0
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # sh5l with pid 31785 completed with status 0
% 0.21/0.51  # Result found by sh5l
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: FGHNF-FFMM21-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 131s (1) cores
% 0.21/0.51  # G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with pid 31793 completed with status 0
% 0.21/0.51  # Result found by G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S
% 0.21/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51  # Starting sh5l with 300s (1) cores
% 0.21/0.51  # SinE strategy is gf500_gu_R04_F100_L20000
% 0.21/0.51  # Search class: FGHNF-FFMM21-SFFFFFNN
% 0.21/0.51  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.51  # Starting G-E--_107_C18_F1_PI_AE_Q4_CS_SP_PS_S4S with 131s (1) cores
% 0.21/0.51  # Preprocessing time       : 0.002 s
% 0.21/0.51  # Presaturation interreduction done
% 0.21/0.51  
% 0.21/0.51  # Proof found!
% 0.21/0.51  # SZS status Unsatisfiable
% 0.21/0.51  # SZS output start CNFRefutation
% See solution above
% 0.21/0.51  # Parsed axioms                        : 58
% 0.21/0.51  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.51  # Initial clauses                      : 58
% 0.21/0.51  # Removed in clause preprocessing      : 0
% 0.21/0.51  # Initial clauses in saturation        : 58
% 0.21/0.51  # Processed clauses                    : 352
% 0.21/0.51  # ...of these trivial                  : 9
% 0.21/0.51  # ...subsumed                          : 10
% 0.21/0.51  # ...remaining for further processing  : 333
% 0.21/0.51  # Other redundant clauses eliminated   : 0
% 0.21/0.51  # Clauses deleted for lack of memory   : 0
% 0.21/0.51  # Backward-subsumed                    : 3
% 0.21/0.51  # Backward-rewritten                   : 13
% 0.21/0.51  # Generated clauses                    : 307
% 0.21/0.51  # ...of the previous two non-redundant : 250
% 0.21/0.51  # ...aggressively subsumed             : 0
% 0.21/0.51  # Contextual simplify-reflections      : 2
% 0.21/0.51  # Paramodulations                      : 307
% 0.21/0.51  # Factorizations                       : 0
% 0.21/0.51  # NegExts                              : 0
% 0.21/0.51  # Equation resolutions                 : 0
% 0.21/0.51  # Disequality decompositions           : 0
% 0.21/0.51  # Total rewrite steps                  : 114
% 0.21/0.51  # ...of those cached                   : 74
% 0.21/0.51  # Propositional unsat checks           : 0
% 0.21/0.51  #    Propositional check models        : 0
% 0.21/0.51  #    Propositional check unsatisfiable : 0
% 0.21/0.51  #    Propositional clauses             : 0
% 0.21/0.51  #    Propositional clauses after purity: 0
% 0.21/0.51  #    Propositional unsat core size     : 0
% 0.21/0.51  #    Propositional preprocessing time  : 0.000
% 0.21/0.51  #    Propositional encoding time       : 0.000
% 0.21/0.51  #    Propositional solver time         : 0.000
% 0.21/0.51  #    Success case prop preproc time    : 0.000
% 0.21/0.51  #    Success case prop encoding time   : 0.000
% 0.21/0.51  #    Success case prop solver time     : 0.000
% 0.21/0.51  # Current number of processed clauses  : 259
% 0.21/0.51  #    Positive orientable unit clauses  : 80
% 0.21/0.51  #    Positive unorientable unit clauses: 0
% 0.21/0.51  #    Negative unit clauses             : 7
% 0.21/0.51  #    Non-unit-clauses                  : 172
% 0.21/0.51  # Current number of unprocessed clauses: 7
% 0.21/0.51  # ...number of literals in the above   : 23
% 0.21/0.51  # Current number of archived formulas  : 0
% 0.21/0.51  # Current number of archived clauses   : 74
% 0.21/0.51  # Clause-clause subsumption calls (NU) : 4941
% 0.21/0.51  # Rec. Clause-clause subsumption calls : 4060
% 0.21/0.51  # Non-unit clause-clause subsumptions  : 7
% 0.21/0.51  # Unit Clause-clause subsumption calls : 118
% 0.21/0.51  # Rewrite failures with RHS unbound    : 0
% 0.21/0.51  # BW rewrite match attempts            : 36
% 0.21/0.51  # BW rewrite match successes           : 11
% 0.21/0.51  # Condensation attempts                : 0
% 0.21/0.51  # Condensation successes               : 0
% 0.21/0.51  # Termbank termtop insertions          : 8581
% 0.21/0.51  # Search garbage collected termcells   : 122
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.023 s
% 0.21/0.51  # System time              : 0.003 s
% 0.21/0.51  # Total time               : 0.026 s
% 0.21/0.51  # Maximum resident set size: 1872 pages
% 0.21/0.51  
% 0.21/0.51  # -------------------------------------------------
% 0.21/0.51  # User time                : 0.026 s
% 0.21/0.51  # System time              : 0.004 s
% 0.21/0.51  # Total time               : 0.030 s
% 0.21/0.51  # Maximum resident set size: 1740 pages
% 0.21/0.51  % E---3.1 exiting
% 0.21/0.52  % E exiting
%------------------------------------------------------------------------------