TSTP Solution File: HWV007-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : HWV007-1 : TPTP v8.1.0. Released v2.1.0.
% 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 0.41s 0.60s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   47
% Syntax   : Number of clauses     :  119 (  76 unt;   8 nHn; 119 RR)
%            Number of literals    :  183 (   0 equ;  83 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   :   42 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(value_propagation1,axiom,
    ( ~ connection(X,Y)
    | ~ value(X,Z)
    | value(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation1) ).

cnf(value_propagation2,axiom,
    ( ~ connection(X,Y)
    | ~ value(Y,Z)
    | value(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).

cnf(unique_value,axiom,
    ( ~ value(X,Y)
    | ~ value(X,Z)
    | equal_value(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',unique_value) ).

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

cnf(equal_value2,axiom,
    ~ equal_value(n1,n0),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',equal_value2) ).

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

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

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

cnf(and_1_1x,axiom,
    ( ~ mode(X,ok)
    | ~ type(X,and)
    | ~ value(out(n1,X),n1)
    | value(in(n1,X),n1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_1_1x) ).

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

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

cnf(or_1_11,axiom,
    ( ~ mode(X,ok)
    | ~ type(X,or)
    | ~ value(out(n1,X),n1)
    | value(in(n1,X),n1)
    | value(in(n2,X),n1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_1_11) ).

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

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

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

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

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

cnf(halfadder_connection_in1_in1or1,axiom,
    ( ~ type(X,halfadder)
    | connection(in(n1,X),in(n1,or1(X))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1or1) ).

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

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

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

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

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

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

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

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

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

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

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

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

cnf(fulladder_connection_outch1_in2or1,axiom,
    ( ~ type(X,fulladder)
    | connection(out(c,h1(X)),in(n2,or1(X))) ),
    file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch1_in2or1) ).

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

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

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

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

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

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

cnf(in1_1,hypothesis,
    value(in(n1,f),n0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).

cnf(in2_0,hypothesis,
    value(in(n2,f),n1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).

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

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

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

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

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

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

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

cnf(57,plain,
    type(h1(f),halfadder),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_halfadder1,f_isa_fulladder]) ).

cnf(58,plain,
    type(h2(f),halfadder),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_halfadder2,f_isa_fulladder]) ).

cnf(59,plain,
    type(or1(f),or),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_or1,f_isa_fulladder]) ).

cnf(62,plain,
    ~ value(in(n2,f),n0),
    inference('UR-RESOLVE',[status(thm)],[unique_value,in2_0,equal_value1]) ).

cnf(63,plain,
    ~ value(in(c,f),n0),
    inference('UR-RESOLVE',[status(thm)],[unique_value,inc_1,equal_value1]) ).

cnf(65,plain,
    ~ value(in(n1,f),n1),
    inference('UR-RESOLVE',[status(thm)],[unique_value,in1_1,equal_value2]) ).

cnf(66,plain,
    ~ value(out(c,f),n1),
    inference('UR-RESOLVE',[status(thm)],[unique_value,outc_0,equal_value2]) ).

cnf(68,plain,
    connection(in(n1,f),in(n1,h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_in1_in1h2,f_isa_fulladder]) ).

cnf(69,plain,
    connection(in(n2,f),in(n1,h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_in2_in1h1,f_isa_fulladder]) ).

cnf(70,plain,
    connection(in(c,f),in(n2,h1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_inc_in2h1,f_isa_fulladder]) ).

cnf(71,plain,
    connection(out(s,f),out(s,h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outs_outsh2,f_isa_fulladder]) ).

cnf(72,plain,
    connection(out(c,f),out(n1,or1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outc_out1or1,f_isa_fulladder]) ).

cnf(73,plain,
    connection(out(s,h1(f)),in(n2,h2(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outsh1_in2h2,f_isa_fulladder]) ).

cnf(74,plain,
    connection(out(c,h1(f)),in(n2,or1(f))),
    inference('HYPERRESOLVE',[status(thm)],[fulladder_connection_outch1_in2or1,f_isa_fulladder]) ).

cnf(77,plain,
    type(not1(h1(f)),not),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_not1,57]) ).

cnf(78,plain,
    type(and2(h1(f)),and),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_and2,57]) ).

cnf(79,plain,
    type(and1(h1(f)),and),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_and1,57]) ).

cnf(81,plain,
    connection(out(c,h1(f)),out(n1,and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outc_out1and2,57]) ).

cnf(82,plain,
    connection(out(s,h1(f)),out(n1,and1(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outs_out1and1,57]) ).

cnf(83,plain,
    connection(in(n2,h1(f)),in(n2,and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in2_in2and2,57]) ).

cnf(84,plain,
    connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in1_in1and2,57]) ).

cnf(87,plain,
    connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1not1_in2and1,57]) ).

cnf(88,plain,
    connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1and2_in1not1,57]) ).

cnf(90,plain,
    type(or1(h2(f)),or),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_or1,58]) ).

cnf(93,plain,
    type(and1(h2(f)),and),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_and1,58]) ).

cnf(96,plain,
    connection(out(s,h2(f)),out(n1,and1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_outs_out1and1,58]) ).

cnf(99,plain,
    connection(in(n2,h2(f)),in(n2,or1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in2_in2or1,58]) ).

cnf(100,plain,
    connection(in(n1,h2(f)),in(n1,or1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_in1_in1or1,58]) ).

cnf(103,plain,
    connection(out(n1,or1(h2(f))),in(n1,and1(h2(f)))),
    inference('HYPERRESOLVE',[status(thm)],[halfadder_connection_out1or1_in1_and1,58]) ).

cnf(104,plain,
    ( mode(or1(f),ok)
    | mode(or1(f),abnormal) ),
    inference('HYPERRESOLVE',[status(thm)],[ok_or_abnormal,59]) ).

cnf(118,plain,
    ( mode(not1(h1(f)),ok)
    | mode(not1(h1(f)),abnormal) ),
    inference('HYPERRESOLVE',[status(thm)],[ok_or_abnormal,77]) ).

cnf(119,plain,
    mode(and2(h1(f)),ok),
    inference('UR-RESOLVE',[status(thm)],[ok_or_abnormal,78,diagnosis_and2h1]) ).

cnf(120,plain,
    ( mode(and1(h1(f)),ok)
    | mode(and1(h1(f)),abnormal) ),
    inference('HYPERRESOLVE',[status(thm)],[ok_or_abnormal,79]) ).

cnf(121,plain,
    ( mode(or1(h2(f)),ok)
    | mode(or1(h2(f)),abnormal) ),
    inference('HYPERRESOLVE',[status(thm)],[ok_or_abnormal,90]) ).

cnf(124,plain,
    ( mode(and1(h2(f)),ok)
    | mode(and1(h2(f)),abnormal) ),
    inference('HYPERRESOLVE',[status(thm)],[ok_or_abnormal,93]) ).

cnf(126,plain,
    ~ value(in(n1,h2(f)),n1),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,68,65]) ).

cnf(133,plain,
    value(in(n1,h1(f)),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,69,in2_0]) ).

cnf(134,plain,
    ~ value(in(n1,h1(f)),n0),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,69,62]) ).

cnf(141,plain,
    value(in(n2,h1(f)),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,70,inc_1]) ).

cnf(142,plain,
    ~ value(in(n2,h1(f)),n0),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,70,63]) ).

cnf(149,plain,
    value(out(s,h2(f)),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,71,outs_1]) ).

cnf(158,plain,
    ~ value(out(n1,or1(f)),n1),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,72,66]) ).

cnf(173,plain,
    value(in(n2,and2(h1(f))),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,83,141]) ).

cnf(174,plain,
    ~ value(in(n2,and2(h1(f))),n0),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,83,142]) ).

cnf(183,plain,
    value(in(n1,and2(h1(f))),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,84,133]) ).

cnf(184,plain,
    ~ value(in(n1,and2(h1(f))),n0),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,84,134]) ).

cnf(185,plain,
    value(out(n1,and2(h1(f))),n1),
    inference('HYPERRESOLVE',[status(thm)],[and_11_1,183,119,78,173]) ).

cnf(194,plain,
    ~ value(out(n1,and2(h1(f))),n0),
    inference('UR-RESOLVE',[status(thm)],[and_0_00,184,119,78,174]) ).

cnf(196,plain,
    value(out(c,h1(f)),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation2,185,81]) ).

cnf(205,plain,
    value(in(n2,or1(f)),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,196,74]) ).

cnf(216,plain,
    ~ mode(or1(f),ok),
    inference('UR-RESOLVE',[status(thm)],[or_1x_1,205,59,158]) ).

cnf(217,plain,
    mode(or1(f),abnormal),
    inference('REWRITE',[status(thm)],[104,216]) ).

cnf(218,plain,
    ~ mode(and1(h1(f)),abnormal),
    inference('REWRITE',[status(thm)],[diagnosis_or1_and1h1,217]) ).

cnf(219,plain,
    mode(and1(h1(f)),ok),
    inference('REWRITE',[status(thm)],[120,218]) ).

cnf(220,plain,
    ~ mode(not1(h1(f)),abnormal),
    inference('REWRITE',[status(thm)],[diagnosis_or1_not1h1,217]) ).

cnf(221,plain,
    mode(not1(h1(f)),ok),
    inference('REWRITE',[status(thm)],[118,220]) ).

cnf(222,plain,
    ~ mode(and1(h2(f)),abnormal),
    inference('REWRITE',[status(thm)],[diagnosis_or1_and1h2,217]) ).

cnf(223,plain,
    mode(and1(h2(f)),ok),
    inference('REWRITE',[status(thm)],[124,222]) ).

cnf(224,plain,
    ~ mode(or1(h2(f)),abnormal),
    inference('REWRITE',[status(thm)],[diagnosis_or1_or1h2,217]) ).

cnf(225,plain,
    mode(or1(h2(f)),ok),
    inference('REWRITE',[status(thm)],[121,224]) ).

cnf(255,plain,
    value(out(n1,and1(h2(f))),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,96,149]) ).

cnf(258,plain,
    value(in(n1,and1(h2(f))),n1),
    inference('HYPERRESOLVE',[status(thm)],[and_1_1x,255,223,93]) ).

cnf(326,plain,
    ~ value(in(n1,or1(h2(f))),n1),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,100,126]) ).

cnf(370,plain,
    ~ value(in(n1,not1(h1(f))),n0),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,88,194]) ).

cnf(384,plain,
    ~ value(out(n1,not1(h1(f))),n1),
    inference('UR-RESOLVE',[status(thm)],[not_1_0_bw,370,221,77]) ).

cnf(399,plain,
    value(out(n1,or1(h2(f))),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation2,103,258]) ).

cnf(402,plain,
    value(in(n2,or1(h2(f))),n1),
    inference('UR-RESOLVE',[status(thm)],[or_1_11,399,225,90,326]) ).

cnf(452,plain,
    ~ value(in(n2,and1(h1(f))),n1),
    inference('UR-RESOLVE',[status(thm)],[value_propagation2,384,87]) ).

cnf(453,plain,
    value(in(n2,h2(f)),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation2,402,99]) ).

cnf(468,plain,
    value(out(s,h1(f)),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation2,453,73]) ).

cnf(486,plain,
    value(out(n1,and1(h1(f))),n1),
    inference('HYPERRESOLVE',[status(thm)],[value_propagation1,468,82]) ).

cnf(541,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[and_1_x1,452,219,79]),486]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : HWV007-1 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun 16 23:16:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 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/sandbox/benchmark/theBenchmark.p 2022-06-16T23:16:20
% 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 2022-06-16T23:16:20
% 0.41/0.60  
% 0.41/0.60  
% 0.41/0.60  #||
% 0.41/0.60  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.60  % SZS output start Refutation
% See solution above
% 0.41/0.61  ||#
% 0.41/0.61  
% 0.41/0.61  ; Summary of computation:
% 0.41/0.61  ;      1179 formulas have been input or derived (from 285 formulas).
% 0.41/0.61  ;       541 (46%) were retained.  Of these,
% 0.41/0.61  ;           53 (10%) were simplified or subsumed later,
% 0.41/0.61  ;          488 (90%) are still being kept.
% 0.41/0.61  ; 
% 0.41/0.61  ; Run time in seconds excluding printing time:
% 0.41/0.61  ;     0.012  10%   Read assertion file          (1 call)
% 0.41/0.61  ;     0.000   0%   Assert                       (56 calls)
% 0.41/0.61  ;     0.033  26%   Process new row              (1,005 calls)
% 0.41/0.61  ;     0.018  14%   Resolution                   (568 calls)
% 0.41/0.61  ;     0.002   2%   Paramodulation               (284 calls)
% 0.41/0.61  ;     0.000   0%   Factoring                    (4 calls)
% 0.41/0.61  ;     0.002   2%   Condensing                   (60 calls)
% 0.41/0.61  ;     0.004   3%   Forward subsumption          (60 calls)
% 0.41/0.61  ;     0.001   1%   Backward subsumption         (60 calls)
% 0.41/0.61  ;     0.000   0%   Clause clause subsumption    (2 calls)
% 0.41/0.61  ;     0.011   9%   Forward simplification       (1,004 calls)
% 0.41/0.61  ;     0.007   6%   Backward simplification      (541 calls)
% 0.41/0.61  ;     0.000   0%   Ordering                     (9 calls)
% 0.41/0.61  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.41/0.61  ;     0.000   0%   Purity testing               (1 call)
% 0.41/0.61  ;     0.035  28%   Other
% 0.41/0.61  ;     0.125        Total
% 0.41/0.61  ;     0.140        Real time
% 0.41/0.61  ; 
% 0.41/0.61  ; Term-hash-array has 620 terms in all.
% 0.41/0.61  ; Feature-vector-row-index has 49 entries (60 at peak, 60 added, 11 deleted).
% 0.41/0.61  ; Feature-vector-row-index has 312 nodes (369 at peak, 369 added, 57 deleted).
% 0.41/0.61  ;  Retrieved 2 possibly forward subsuming rows in 60 calls.
% 0.41/0.61  ;  Retrieved 2 possibly backward subsumed rows in 60 calls.
% 0.41/0.61  ; Path-index has 590 entries (590 at peak, 638 added, 48 deleted).
% 0.41/0.61  ; Path-index has 421 nodes (421 at peak, 421 added, 0 deleted).
% 0.41/0.61  ; Trie-index has 590 entries (590 at peak, 638 added, 48 deleted).
% 0.41/0.61  ; Trie-index has 1,578 nodes (1,578 at peak, 1,714 added, 136 deleted).
% 0.41/0.61  ; Retrieved 466 generalization terms in 975 calls.
% 0.41/0.61  ; Retrieved 522 instance terms in 480 calls.
% 0.41/0.61  ; Retrieved 6,886 unifiable terms in 4,202 calls.
% 0.41/0.61  ; 
% 0.41/0.61  ; The agenda of rows to process has 45 entries:
% 0.41/0.61  ;     1 with value 19             12 with value 22              26 with value 23
% 0.41/0.61  ;     6 with value 21
% 0.41/0.61  ; The agenda of rows to give has 210 entries:
% 0.41/0.61  ;     1 with value (4 18)         44 with value (4 20)          42 with value (4 22)
% 0.41/0.61  ;    49 with value (4 19)         46 with value (4 21)          28 with value (4 23)
% 0.41/0.61  Evaluation took:
% 0.41/0.61    0.141 seconds of real time
% 0.41/0.61    0.117301 seconds of user run time
% 0.41/0.61    0.022834 seconds of system run time
% 0.41/0.61    [Run times include 0.007 seconds GC run time.]
% 0.41/0.61    0 calls to %EVAL
% 0.41/0.61    0 page faults and
% 0.41/0.61    14,958,744 bytes consed.
% 0.41/0.61  :PROOF-FOUND
% 0.41/0.61  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T23:16:20
% 0.41/0.61  :PROOF-FOUND
% 0.41/0.61  * 
%------------------------------------------------------------------------------