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SNARK---20120808r022.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV007-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n023.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  : 600s
% DateTime : Sat Jul 16 19:10:31 EDT 2022

% Result   : Unsatisfiable 0.38s 0.58s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   48
% Syntax   : Number of clauses     :  120 (  74 unt;  10 nHn; 120 RR)
%            Number of literals    :  182 (   0 equ;  78 neg)
%            Maximal clause size   :    4 (   1 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   :   40 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(value_propagation_one1,axiom,
    ( ~ connection(X,Y)
    | ~ one(X)
    | one(Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).

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

cnf(value_propagation_one2,axiom,
    ( ~ connection(X,Y)
    | ~ one(Y)
    | one(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).

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

cnf(and_11_1,axiom,
    ( ~ and_ok(X)
    | ~ one(in1(X))
    | ~ one(in2(X))
    | one(out1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_11_1) ).

cnf(and_0_00,axiom,
    ( ~ and_ok(X)
    | ~ zero(out1(X))
    | zero(in1(X))
    | zero(in2(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_0_00) ).

cnf(and_1_1x,axiom,
    ( ~ and_ok(X)
    | ~ one(out1(X))
    | one(in1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_1_1x) ).

cnf(and_1_x1,axiom,
    ( ~ and_ok(X)
    | ~ one(out1(X))
    | one(in2(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',and_1_x1) ).

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

cnf(or_x1_1,axiom,
    ( ~ or_ok(X)
    | ~ one(in2(X))
    | one(out1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_x1_1) ).

cnf(or_1_11,axiom,
    ( ~ or_ok(X)
    | ~ one(out1(X))
    | one(in1(X))
    | one(in2(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',or_1_11) ).

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

cnf(not_1_0_bw,axiom,
    ( ~ not_ok(X)
    | ~ one(out1(X))
    | zero(in1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_1_0_bw) ).

cnf(not_ok_or_abnormal,axiom,
    ( ~ logic_not(X)
    | not_ok(X)
    | abnormal(X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).

cnf(halfadder_and1,axiom,
    ( ~ halfadder(X)
    | logic_and(and1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).

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

cnf(halfadder_not1,axiom,
    ( ~ halfadder(X)
    | logic_not(not1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).

cnf(halfadder_or1,axiom,
    ( ~ halfadder(X)
    | logic_or(or1(X)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).

cnf(halfadder_connection_in1_in1or1,axiom,
    ( ~ halfadder(X)
    | connection(in1(X),in1(or1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1or1) ).

cnf(halfadder_connection_in2_in2or1,axiom,
    ( ~ halfadder(X)
    | connection(in2(X),in2(or1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2or1) ).

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

cnf(halfadder_connection_in2_in2and2,axiom,
    ( ~ halfadder(X)
    | connection(in2(X),in2(and2(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2and2) ).

cnf(halfadder_connection_outs_out1and1,axiom,
    ( ~ halfadder(X)
    | connection(outs(X),out1(and1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).

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

cnf(halfadder_connection_out1or1_in1_and1,axiom,
    ( ~ halfadder(X)
    | connection(out1(or1(X)),in1(and1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).

cnf(halfadder_connection_out1and2_in1not1,axiom,
    ( ~ halfadder(X)
    | connection(out1(and2(X)),in1(not1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).

cnf(halfadder_connection_out1not1_in2and1,axiom,
    ( ~ halfadder(X)
    | connection(out1(not1(X)),in2(and1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).

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

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

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

cnf(fulladder_connection_outsh1_in2h2,axiom,
    ( ~ fulladder(X)
    | connection(outs(h1(X)),in2(h2(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outsh1_in2h2) ).

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

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

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

cnf(fulladder_connection_inc_in2h1,axiom,
    ( ~ fulladder(X)
    | connection(inc(X),in2(h1(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_inc_in2h1) ).

cnf(fulladder_connection_outs_outsh2,axiom,
    ( ~ fulladder(X)
    | connection(outs(X),outs(h2(X))) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outs_outsh2) ).

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

cnf(f_isa_fulladder,hypothesis,
    fulladder(f),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_isa_fulladder) ).

cnf(in1_1,hypothesis,
    zero(in1(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in1_1) ).

cnf(in2_0,hypothesis,
    one(in2(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in2_0) ).

cnf(inc_1,hypothesis,
    one(inc(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inc_1) ).

cnf(outs_1,hypothesis,
    one(outs(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outs_1) ).

cnf(outc_0,hypothesis,
    zero(outc(f)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',outc_0) ).

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

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

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

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

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

cnf(63,plain,
    ~ zero(inc(f)),
    inference('UR-RESOLVE',[status(thm)],[unique_value,inc_1]) ).

cnf(65,plain,
    ~ zero(in2(f)),
    inference('UR-RESOLVE',[status(thm)],[unique_value,in2_0]) ).

cnf(66,plain,
    ~ one(outc(f)),
    inference('UR-RESOLVE',[status(thm)],[unique_value,outc_0]) ).

cnf(67,plain,
    ~ one(in1(f)),
    inference('UR-RESOLVE',[status(thm)],[unique_value,in1_1]) ).

cnf(68,plain,
    halfadder(h1(f)),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_halfadder1,f_isa_fulladder]) ).

cnf(69,plain,
    halfadder(h2(f)),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_halfadder2,f_isa_fulladder]) ).

cnf(70,plain,
    logic_or(or1(f)),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_or1,f_isa_fulladder]) ).

cnf(71,plain,
    connection(in1(f),in1(h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_in1_in1h2,f_isa_fulladder]) ).

cnf(72,plain,
    connection(in2(f),in1(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_in2_in1h1,f_isa_fulladder]) ).

cnf(73,plain,
    connection(inc(f),in2(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_inc_in2h1,f_isa_fulladder]) ).

cnf(74,plain,
    connection(outs(f),outs(h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outs_outsh2,f_isa_fulladder]) ).

cnf(75,plain,
    connection(outc(f),out1(or1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outc_out1or1,f_isa_fulladder]) ).

cnf(76,plain,
    connection(outs(h1(f)),in2(h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outsh1_in2h2,f_isa_fulladder]) ).

cnf(77,plain,
    connection(outc(h1(f)),in2(or1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outch1_in2or1,f_isa_fulladder]) ).

cnf(92,plain,
    logic_not(not1(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_not1,68]) ).

cnf(93,plain,
    logic_and(and2(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_and2,68]) ).

cnf(94,plain,
    logic_and(and1(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_and1,68]) ).

cnf(95,plain,
    connection(outc(h1(f)),out1(and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outc_out1and2,68]) ).

cnf(96,plain,
    connection(outs(h1(f)),out1(and1(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outs_out1and1,68]) ).

cnf(97,plain,
    connection(in2(h1(f)),in2(and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in2_in2and2,68]) ).

cnf(98,plain,
    connection(in1(h1(f)),in1(and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in1_in1and2,68]) ).

cnf(101,plain,
    connection(out1(not1(h1(f))),in2(and1(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1not1_in2and1,68]) ).

cnf(102,plain,
    connection(out1(and2(h1(f))),in1(not1(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1and2_in1not1,68]) ).

cnf(104,plain,
    logic_or(or1(h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_or1,69]) ).

cnf(107,plain,
    logic_and(and1(h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_and1,69]) ).

cnf(109,plain,
    connection(outs(h2(f)),out1(and1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outs_out1and1,69]) ).

cnf(112,plain,
    connection(in2(h2(f)),in2(or1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in2_in2or1,69]) ).

cnf(113,plain,
    connection(in1(h2(f)),in1(or1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in1_in1or1,69]) ).

cnf(116,plain,
    connection(out1(or1(h2(f))),in1(and1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1or1_in1_and1,69]) ).

cnf(117,plain,
    ( or_ok(or1(f))
    | abnormal(or1(f)) ),
    inference('HYPERRESOLVE',[status(thm)],[or_ok_or_abnormal,70]) ).

cnf(119,plain,
    ( not_ok(not1(h1(f)))
    | abnormal(not1(h1(f))) ),
    inference('HYPERRESOLVE',[status(thm)],[not_ok_or_abnormal,92]) ).

cnf(120,plain,
    and_ok(and2(h1(f))),
    inference('UR-RESOLVE',[status(thm)],[and_ok_or_abnormal,93,diagnosis_and2h1]) ).

cnf(121,plain,
    ( and_ok(and1(h1(f)))
    | abnormal(and1(h1(f))) ),
    inference('HYPERRESOLVE',[status(thm)],[and_ok_or_abnormal,94]) ).

cnf(122,plain,
    ( or_ok(or1(h2(f)))
    | abnormal(or1(h2(f))) ),
    inference('HYPERRESOLVE',[status(thm)],[or_ok_or_abnormal,104]) ).

cnf(125,plain,
    ( and_ok(and1(h2(f)))
    | abnormal(and1(h2(f))) ),
    inference('HYPERRESOLVE',[status(thm)],[and_ok_or_abnormal,107]) ).

cnf(127,plain,
    ~ one(in1(h2(f))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_one2,71,67]) ).

cnf(134,plain,
    one(in1(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,72,in2_0]) ).

cnf(135,plain,
    ~ zero(in1(h1(f))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_zero2,72,65]) ).

cnf(142,plain,
    one(in2(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,73,inc_1]) ).

cnf(143,plain,
    ~ zero(in2(h1(f))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_zero2,73,63]) ).

cnf(150,plain,
    one(outs(h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,74,outs_1]) ).

cnf(159,plain,
    ~ one(out1(or1(f))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_one2,75,66]) ).

cnf(174,plain,
    one(in2(and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,97,142]) ).

cnf(175,plain,
    ~ zero(in2(and2(h1(f)))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_zero2,97,143]) ).

cnf(184,plain,
    one(in1(and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,98,134]) ).

cnf(185,plain,
    ~ zero(in1(and2(h1(f)))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_zero2,98,135]) ).

cnf(186,plain,
    one(out1(and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[and_11_1,184,120,174]) ).

cnf(195,plain,
    ~ zero(out1(and2(h1(f)))),
    inference('UR-RESOLVE',[status(thm)],[and_0_00,185,120,175]) ).

cnf(196,plain,
    one(outc(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one2,186,95]) ).

cnf(206,plain,
    one(in2(or1(f))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,196,77]) ).

cnf(217,plain,
    ~ or_ok(or1(f)),
    inference('UR-RESOLVE',[status(thm)],[or_x1_1,206,159]) ).

cnf(218,plain,
    abnormal(or1(f)),
    inference('REWRITE',[status(thm)],[117,217]) ).

cnf(219,plain,
    ~ abnormal(and1(h1(f))),
    inference('REWRITE',[status(thm)],[diagnosis_or1_and1h1,218]) ).

cnf(220,plain,
    and_ok(and1(h1(f))),
    inference('REWRITE',[status(thm)],[121,219]) ).

cnf(221,plain,
    ~ abnormal(not1(h1(f))),
    inference('REWRITE',[status(thm)],[diagnosis_or1_not1h1,218]) ).

cnf(222,plain,
    not_ok(not1(h1(f))),
    inference('REWRITE',[status(thm)],[119,221]) ).

cnf(223,plain,
    ~ abnormal(and1(h2(f))),
    inference('REWRITE',[status(thm)],[diagnosis_or1_and1h2,218]) ).

cnf(224,plain,
    and_ok(and1(h2(f))),
    inference('REWRITE',[status(thm)],[125,223]) ).

cnf(225,plain,
    ~ abnormal(or1(h2(f))),
    inference('REWRITE',[status(thm)],[diagnosis_or1_or1h2,218]) ).

cnf(226,plain,
    or_ok(or1(h2(f))),
    inference('REWRITE',[status(thm)],[122,225]) ).

cnf(258,plain,
    one(out1(and1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,109,150]) ).

cnf(261,plain,
    one(in1(and1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[and_1_1x,258,224]) ).

cnf(325,plain,
    ~ one(in1(or1(h2(f)))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_one2,113,127]) ).

cnf(359,plain,
    ~ zero(in1(not1(h1(f)))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_zero2,102,195]) ).

cnf(373,plain,
    ~ one(out1(not1(h1(f)))),
    inference('UR-RESOLVE',[status(thm)],[not_1_0_bw,359,222]) ).

cnf(388,plain,
    one(out1(or1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one2,116,261]) ).

cnf(391,plain,
    one(in2(or1(h2(f)))),
    inference('UR-RESOLVE',[status(thm)],[or_1_11,388,226,325]) ).

cnf(447,plain,
    ~ one(in2(and1(h1(f)))),
    inference('UR-RESOLVE',[status(thm)],[value_propagation_one2,373,101]) ).

cnf(448,plain,
    one(in2(h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one2,391,112]) ).

cnf(463,plain,
    one(outs(h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one2,448,76]) ).

cnf(481,plain,
    one(out1(and1(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation_one1,463,96]) ).

cnf(540,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[and_1_x1,447,220]),481]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : HWV007-2 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.08/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n023.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  : 600
% 0.12/0.34  % DateTime : Fri Jun 17 02:59:49 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T02:59:50
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-17T02:59:50
% 0.38/0.58  
% 0.38/0.58  
% 0.38/0.58  #||
% 0.38/0.58  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.38/0.58  % SZS output start Refutation
% See solution above
% 0.38/0.60  ||#
% 0.38/0.60  
% 0.38/0.60  ; Summary of computation:
% 0.38/0.60  ;      1060 formulas have been input or derived (from 312 formulas).
% 0.38/0.60  ;       540 (51%) were retained.  Of these,
% 0.38/0.60  ;           11 ( 2%) were simplified or subsumed later,
% 0.38/0.60  ;          529 (98%) are still being kept.
% 0.38/0.60  ; 
% 0.38/0.60  ; Run time in seconds excluding printing time:
% 0.38/0.60  ;     0.010   9%   Read assertion file          (1 call)
% 0.38/0.60  ;     0.003   3%   Assert                       (62 calls)
% 0.38/0.60  ;     0.035  30%   Process new row              (986 calls)
% 0.38/0.60  ;     0.020  17%   Resolution                   (622 calls)
% 0.38/0.60  ;     0.005   4%   Paramodulation               (311 calls)
% 0.38/0.60  ;     0.000   0%   Factoring                    (1 call)
% 0.38/0.60  ;     0.002   2%   Condensing                   (65 calls)
% 0.38/0.60  ;     0.001   1%   Forward subsumption          (65 calls)
% 0.38/0.60  ;     0.000   0%   Backward subsumption         (65 calls)
% 0.38/0.60  ;     0.000   0%   Clause clause subsumption    (4 calls)
% 0.38/0.60  ;     0.008   7%   Forward simplification       (985 calls)
% 0.38/0.60  ;     0.004   3%   Backward simplification      (540 calls)
% 0.38/0.60  ;     0.000   0%   Ordering                     (6 calls)
% 0.38/0.60  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.38/0.60  ;     0.000   0%   Purity testing               (1 call)
% 0.38/0.60  ;     0.028  24%   Other
% 0.38/0.60  ;     0.116        Total
% 0.38/0.60  ;     0.134        Real time
% 0.38/0.60  ; 
% 0.38/0.60  ; Term-hash-array has 604 terms in all.
% 0.38/0.60  ; Feature-vector-row-index has 54 entries (65 at peak, 65 added, 11 deleted).
% 0.38/0.60  ; Feature-vector-row-index has 185 nodes (234 at peak, 234 added, 49 deleted).
% 0.38/0.60  ;  Retrieved 5 possibly forward subsuming rows in 65 calls.
% 0.38/0.60  ;  Retrieved 3 possibly backward subsumed rows in 65 calls.
% 0.38/0.60  ; Path-index has 604 entries (604 at peak, 610 added, 6 deleted).
% 0.38/0.60  ; Path-index has 608 nodes (608 at peak, 614 added, 6 deleted).
% 0.38/0.60  ; Trie-index has 604 entries (604 at peak, 610 added, 6 deleted).
% 0.38/0.60  ; Trie-index has 1,560 nodes (1,560 at peak, 1,572 added, 12 deleted).
% 0.38/0.60  ; Retrieved 448 generalization terms in 933 calls.
% 0.38/0.60  ; Retrieved 474 instance terms in 474 calls.
% 0.38/0.60  ; Retrieved 5,437 unifiable terms in 3,346 calls.
% 0.38/0.60  ; 
% 0.38/0.60  ; The agenda of rows to process has 45 entries:
% 0.38/0.60  ;     1 with value 17             12 with value 20              26 with value 21
% 0.38/0.60  ;     6 with value 19
% 0.38/0.60  ; The agenda of rows to give has 222 entries:
% 0.38/0.60  ;     1 with value (4 16)         44 with value (4 18)          46 with value (4 20)
% 0.38/0.60  ;    57 with value (4 17)         42 with value (4 19)          32 with value (4 21)
% 0.38/0.60  Evaluation took:
% 0.38/0.60    0.134 seconds of real time
% 0.38/0.60    0.109404 seconds of user run time
% 0.38/0.60    0.024843 seconds of system run time
% 0.38/0.60    [Run times include 0.009 seconds GC run time.]
% 0.38/0.60    0 calls to %EVAL
% 0.38/0.60    0 page faults and
% 0.38/0.60    13,034,728 bytes consed.
% 0.38/0.60  :PROOF-FOUND
% 0.38/0.60  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T02:59:50
% 0.38/0.60  :PROOF-FOUND
% 0.38/0.60  * 
%------------------------------------------------------------------------------