TSTP Solution File: HWV007-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 01:59:57 EDT 2023
% Result : Unsatisfiable 0.46s 0.62s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 71
% Syntax : Number of formulae : 207 ( 58 unt; 26 typ; 0 def)
% Number of atoms : 346 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 320 ( 155 ~; 165 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 13 >; 7 *; 0 +; 0 <<)
% 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 : 103 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
connection: ( $i * $i ) > $o ).
tff(decl_23,type,
value: ( $i * $i ) > $o ).
tff(decl_24,type,
equal_value: ( $i * $i ) > $o ).
tff(decl_25,type,
n0: $i ).
tff(decl_26,type,
n1: $i ).
tff(decl_27,type,
ok: $i ).
tff(decl_28,type,
mode: ( $i * $i ) > $o ).
tff(decl_29,type,
abnormal: $i ).
tff(decl_30,type,
type: ( $i * $i ) > $o ).
tff(decl_31,type,
and: $i ).
tff(decl_32,type,
in: ( $i * $i ) > $i ).
tff(decl_33,type,
out: ( $i * $i ) > $i ).
tff(decl_34,type,
n2: $i ).
tff(decl_35,type,
or: $i ).
tff(decl_36,type,
not: $i ).
tff(decl_37,type,
halfadder: $i ).
tff(decl_38,type,
and1: $i > $i ).
tff(decl_39,type,
and2: $i > $i ).
tff(decl_40,type,
not1: $i > $i ).
tff(decl_41,type,
or1: $i > $i ).
tff(decl_42,type,
s: $i ).
tff(decl_43,type,
c: $i ).
tff(decl_44,type,
fulladder: $i ).
tff(decl_45,type,
h1: $i > $i ).
tff(decl_46,type,
h2: $i > $i ).
tff(decl_47,type,
f: $i ).
cnf(fulladder_halfadder1,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_halfadder1) ).
cnf(f_isa_fulladder,hypothesis,
type(f,fulladder),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
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_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(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_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(halfadder_and2,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_and2) ).
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(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(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(fulladder_or1,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_or1) ).
cnf(halfadder_not1,axiom,
( type(not1(X1),not)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_not1) ).
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_and1,axiom,
( type(and1(X1),and)
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_and1) ).
cnf(not_1_0_fw,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(in(n1,X1),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',not_1_0_fw) ).
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(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(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(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(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(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(outs_1,hypothesis,
value(out(s,f),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
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(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_connection_in1_in1or1,axiom,
( connection(in(n1,X1),in(n1,or1(X1)))
| ~ type(X1,halfadder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-1.ax',halfadder_connection_in1_in1or1) ).
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(value_propagation2,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',value_propagation2) ).
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(and_1_1x,axiom,
( value(in(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',and_1_1x) ).
cnf(in1_1,hypothesis,
value(in(n1,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
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_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_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(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(fulladder_connection_outch1_in2or1,axiom,
( connection(out(c,h1(X1)),in(n2,or1(X1)))
| ~ type(X1,fulladder) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-2.ax',fulladder_connection_outch1_in2or1) ).
cnf(or_00_0,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(in(n1,X1),n0)
| ~ value(in(n2,X1),n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_00_0) ).
cnf(or_0_01,axiom,
( value(in(n2,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n0) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',or_0_01) ).
cnf(outc_0,hypothesis,
value(out(c,f),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
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(equal_value1,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox/benchmark/Axioms/HWV001-0.ax',equal_value1) ).
cnf(c_0_45,axiom,
( type(h1(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder1 ).
cnf(c_0_46,hypothesis,
type(f,fulladder),
f_isa_fulladder ).
cnf(c_0_47,axiom,
( connection(in(n2,X1),in(n1,h1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in2_in1h1 ).
cnf(c_0_48,axiom,
( connection(in(c,X1),in(n2,h1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_inc_in2h1 ).
cnf(c_0_49,axiom,
( connection(in(n1,X1),in(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in1_in1and2 ).
cnf(c_0_50,hypothesis,
type(h1(f),halfadder),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_51,axiom,
( value(X2,X3)
| ~ connection(X1,X2)
| ~ value(X1,X3) ),
value_propagation1 ).
cnf(c_0_52,hypothesis,
connection(in(n2,f),in(n1,h1(f))),
inference(spm,[status(thm)],[c_0_47,c_0_46]) ).
cnf(c_0_53,axiom,
( connection(in(n2,X1),in(n2,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in2_in2and2 ).
cnf(c_0_54,hypothesis,
connection(in(c,f),in(n2,h1(f))),
inference(spm,[status(thm)],[c_0_48,c_0_46]) ).
cnf(c_0_55,axiom,
( type(and2(X1),and)
| ~ type(X1,halfadder) ),
halfadder_and2 ).
cnf(c_0_56,hypothesis,
connection(in(n1,h1(f)),in(n1,and2(h1(f)))),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,hypothesis,
( value(in(n1,h1(f)),X1)
| ~ value(in(n2,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,hypothesis,
value(in(n2,f),n1),
in2_0 ).
cnf(c_0_59,hypothesis,
connection(in(n2,h1(f)),in(n2,and2(h1(f)))),
inference(spm,[status(thm)],[c_0_53,c_0_50]) ).
cnf(c_0_60,hypothesis,
( value(in(n2,h1(f)),X1)
| ~ value(in(c,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_54]) ).
cnf(c_0_61,hypothesis,
value(in(c,f),n1),
inc_1 ).
cnf(c_0_62,axiom,
( connection(out(n1,and2(X1)),in(n1,not1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1and2_in1not1 ).
cnf(c_0_63,axiom,
( mode(X1,ok)
| mode(X1,abnormal)
| ~ type(X1,X2) ),
ok_or_abnormal ).
cnf(c_0_64,hypothesis,
type(and2(h1(f)),and),
inference(spm,[status(thm)],[c_0_55,c_0_50]) ).
cnf(c_0_65,negated_conjecture,
~ mode(and2(h1(f)),abnormal),
diagnosis_and2h1 ).
cnf(c_0_66,hypothesis,
( value(in(n1,and2(h1(f))),X1)
| ~ value(in(n1,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_56]) ).
cnf(c_0_67,hypothesis,
value(in(n1,h1(f)),n1),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_68,hypothesis,
( value(in(n2,and2(h1(f))),X1)
| ~ value(in(n2,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_59]) ).
cnf(c_0_69,hypothesis,
value(in(n2,h1(f)),n1),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_70,axiom,
( type(or1(X1),or)
| ~ type(X1,fulladder) ),
fulladder_or1 ).
cnf(c_0_71,axiom,
( type(not1(X1),not)
| ~ type(X1,halfadder) ),
halfadder_not1 ).
cnf(c_0_72,hypothesis,
connection(out(n1,and2(h1(f))),in(n1,not1(h1(f)))),
inference(spm,[status(thm)],[c_0_62,c_0_50]) ).
cnf(c_0_73,axiom,
( value(out(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(n1,X1),n1)
| ~ value(in(n2,X1),n1) ),
and_11_1 ).
cnf(c_0_74,hypothesis,
mode(and2(h1(f)),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_65]) ).
cnf(c_0_75,hypothesis,
value(in(n1,and2(h1(f))),n1),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_76,hypothesis,
value(in(n2,and2(h1(f))),n1),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_77,hypothesis,
type(or1(f),or),
inference(spm,[status(thm)],[c_0_70,c_0_46]) ).
cnf(c_0_78,axiom,
( type(and1(X1),and)
| ~ type(X1,halfadder) ),
halfadder_and1 ).
cnf(c_0_79,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,not)
| ~ value(in(n1,X1),n1) ),
not_1_0_fw ).
cnf(c_0_80,hypothesis,
type(not1(h1(f)),not),
inference(spm,[status(thm)],[c_0_71,c_0_50]) ).
cnf(c_0_81,hypothesis,
( value(in(n1,not1(h1(f))),X1)
| ~ value(out(n1,and2(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_72]) ).
cnf(c_0_82,hypothesis,
value(out(n1,and2(h1(f))),n1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_64]),c_0_74]),c_0_75]),c_0_76])]) ).
cnf(c_0_83,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(not1(h1(f)),abnormal) ),
diagnosis_or1_not1h1 ).
cnf(c_0_84,hypothesis,
( mode(or1(f),abnormal)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_77]) ).
cnf(c_0_85,axiom,
( type(h2(X1),halfadder)
| ~ type(X1,fulladder) ),
fulladder_halfadder2 ).
cnf(c_0_86,axiom,
( connection(out(s,X1),out(s,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outs_outsh2 ).
cnf(c_0_87,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h1(f)),abnormal) ),
diagnosis_or1_and1h1 ).
cnf(c_0_88,hypothesis,
type(and1(h1(f)),and),
inference(spm,[status(thm)],[c_0_78,c_0_50]) ).
cnf(c_0_89,axiom,
( connection(out(n1,not1(X1)),in(n2,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1not1_in2and1 ).
cnf(c_0_90,hypothesis,
( value(out(n1,not1(h1(f))),n0)
| ~ mode(not1(h1(f)),ok)
| ~ value(in(n1,not1(h1(f))),n1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_91,hypothesis,
value(in(n1,not1(h1(f))),n1),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_92,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(not1(h1(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_83,c_0_84]) ).
cnf(c_0_93,hypothesis,
( mode(not1(h1(f)),abnormal)
| mode(not1(h1(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_80]) ).
cnf(c_0_94,axiom,
( connection(out(s,X1),out(n1,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_outs_out1and1 ).
cnf(c_0_95,hypothesis,
type(h2(f),halfadder),
inference(spm,[status(thm)],[c_0_85,c_0_46]) ).
cnf(c_0_96,hypothesis,
connection(out(s,f),out(s,h2(f))),
inference(spm,[status(thm)],[c_0_86,c_0_46]) ).
cnf(c_0_97,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(in(X2,X1),n0) ),
and_0x_0 ).
cnf(c_0_98,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(and1(h1(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_87,c_0_84]) ).
cnf(c_0_99,hypothesis,
( mode(and1(h1(f)),abnormal)
| mode(and1(h1(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_88]) ).
cnf(c_0_100,hypothesis,
connection(out(n1,not1(h1(f))),in(n2,and1(h1(f)))),
inference(spm,[status(thm)],[c_0_89,c_0_50]) ).
cnf(c_0_101,hypothesis,
( value(out(n1,not1(h1(f))),n0)
| ~ mode(not1(h1(f)),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_90,c_0_91])]) ).
cnf(c_0_102,negated_conjecture,
( mode(not1(h1(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_103,hypothesis,
connection(out(s,h2(f)),out(n1,and1(h2(f)))),
inference(spm,[status(thm)],[c_0_94,c_0_95]) ).
cnf(c_0_104,hypothesis,
( value(out(s,h2(f)),X1)
| ~ value(out(s,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_96]) ).
cnf(c_0_105,hypothesis,
value(out(s,f),n1),
outs_1 ).
cnf(c_0_106,axiom,
( connection(in(n1,X1),in(n1,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_in1_in1h2 ).
cnf(c_0_107,hypothesis,
( value(out(n1,and1(h1(f))),n0)
| ~ mode(and1(h1(f)),ok)
| ~ value(in(X1,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_97,c_0_88]) ).
cnf(c_0_108,negated_conjecture,
( mode(and1(h1(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_98,c_0_99]) ).
cnf(c_0_109,hypothesis,
( value(in(n2,and1(h1(f))),X1)
| ~ value(out(n1,not1(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_100]) ).
cnf(c_0_110,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,not1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_111,hypothesis,
( value(out(n1,and1(h2(f))),X1)
| ~ value(out(s,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_103]) ).
cnf(c_0_112,hypothesis,
value(out(s,h2(f)),n1),
inference(spm,[status(thm)],[c_0_104,c_0_105]) ).
cnf(c_0_113,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(and1(h2(f)),abnormal) ),
diagnosis_or1_and1h2 ).
cnf(c_0_114,hypothesis,
type(and1(h2(f)),and),
inference(spm,[status(thm)],[c_0_78,c_0_95]) ).
cnf(c_0_115,axiom,
( connection(in(n1,X1),in(n1,or1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in1_in1or1 ).
cnf(c_0_116,hypothesis,
connection(in(n1,f),in(n1,h2(f))),
inference(spm,[status(thm)],[c_0_106,c_0_46]) ).
cnf(c_0_117,axiom,
( connection(out(s,h1(X1)),in(n2,h2(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outsh1_in2h2 ).
cnf(c_0_118,axiom,
( value(X1,X3)
| ~ connection(X1,X2)
| ~ value(X2,X3) ),
value_propagation2 ).
cnf(c_0_119,hypothesis,
connection(out(s,h1(f)),out(n1,and1(h1(f)))),
inference(spm,[status(thm)],[c_0_94,c_0_50]) ).
cnf(c_0_120,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,and1(h1(f))),n0)
| ~ value(in(X1,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_107,c_0_108]) ).
cnf(c_0_121,hypothesis,
( mode(or1(f),ok)
| value(in(n2,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_109,c_0_110]) ).
cnf(c_0_122,axiom,
( connection(out(n1,or1(X1)),in(n1,and1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_out1or1_in1_and1 ).
cnf(c_0_123,axiom,
( value(in(n1,X1),n1)
| ~ mode(X1,ok)
| ~ type(X1,and)
| ~ value(out(n1,X1),n1) ),
and_1_1x ).
cnf(c_0_124,hypothesis,
value(out(n1,and1(h2(f))),n1),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_125,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(and1(h2(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_113,c_0_84]) ).
cnf(c_0_126,hypothesis,
( mode(and1(h2(f)),abnormal)
| mode(and1(h2(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_114]) ).
cnf(c_0_127,hypothesis,
connection(in(n1,h2(f)),in(n1,or1(h2(f)))),
inference(spm,[status(thm)],[c_0_115,c_0_95]) ).
cnf(c_0_128,hypothesis,
( value(in(n1,h2(f)),X1)
| ~ value(in(n1,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_116]) ).
cnf(c_0_129,hypothesis,
value(in(n1,f),n0),
in1_1 ).
cnf(c_0_130,axiom,
( type(or1(X1),or)
| ~ type(X1,halfadder) ),
halfadder_or1 ).
cnf(c_0_131,axiom,
( connection(in(n2,X1),in(n2,or1(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_in2_in2or1 ).
cnf(c_0_132,hypothesis,
connection(out(s,h1(f)),in(n2,h2(f))),
inference(spm,[status(thm)],[c_0_117,c_0_46]) ).
cnf(c_0_133,hypothesis,
( value(out(s,h1(f)),X1)
| ~ value(out(n1,and1(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_134,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,and1(h1(f))),n0) ),
inference(spm,[status(thm)],[c_0_120,c_0_121]) ).
cnf(c_0_135,axiom,
( connection(out(c,X1),out(n1,and2(X1)))
| ~ type(X1,halfadder) ),
halfadder_connection_outc_out1and2 ).
cnf(c_0_136,axiom,
( connection(out(c,X1),out(n1,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outc_out1or1 ).
cnf(c_0_137,hypothesis,
connection(out(n1,or1(h2(f))),in(n1,and1(h2(f)))),
inference(spm,[status(thm)],[c_0_122,c_0_95]) ).
cnf(c_0_138,hypothesis,
( value(in(n1,and1(h2(f))),n1)
| ~ mode(and1(h2(f)),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_114]),c_0_124])]) ).
cnf(c_0_139,negated_conjecture,
( mode(and1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_125,c_0_126]) ).
cnf(c_0_140,hypothesis,
( value(in(n1,or1(h2(f))),X1)
| ~ value(in(n1,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_127]) ).
cnf(c_0_141,hypothesis,
value(in(n1,h2(f)),n0),
inference(spm,[status(thm)],[c_0_128,c_0_129]) ).
cnf(c_0_142,negated_conjecture,
( ~ mode(or1(f),abnormal)
| ~ mode(or1(h2(f)),abnormal) ),
diagnosis_or1_or1h2 ).
cnf(c_0_143,hypothesis,
type(or1(h2(f)),or),
inference(spm,[status(thm)],[c_0_130,c_0_95]) ).
cnf(c_0_144,hypothesis,
connection(in(n2,h2(f)),in(n2,or1(h2(f)))),
inference(spm,[status(thm)],[c_0_131,c_0_95]) ).
cnf(c_0_145,hypothesis,
( value(in(n2,h2(f)),X1)
| ~ value(out(s,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_132]) ).
cnf(c_0_146,hypothesis,
( mode(or1(f),ok)
| value(out(s,h1(f)),n0) ),
inference(spm,[status(thm)],[c_0_133,c_0_134]) ).
cnf(c_0_147,axiom,
( connection(out(c,h1(X1)),in(n2,or1(X1)))
| ~ type(X1,fulladder) ),
fulladder_connection_outch1_in2or1 ).
cnf(c_0_148,hypothesis,
connection(out(c,h1(f)),out(n1,and2(h1(f)))),
inference(spm,[status(thm)],[c_0_135,c_0_50]) ).
cnf(c_0_149,hypothesis,
connection(out(c,f),out(n1,or1(f))),
inference(spm,[status(thm)],[c_0_136,c_0_46]) ).
cnf(c_0_150,hypothesis,
( value(out(n1,or1(h2(f))),X1)
| ~ value(in(n1,and1(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_137]) ).
cnf(c_0_151,negated_conjecture,
( mode(or1(f),ok)
| value(in(n1,and1(h2(f))),n1) ),
inference(spm,[status(thm)],[c_0_138,c_0_139]) ).
cnf(c_0_152,axiom,
( value(out(n1,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(in(n1,X1),n0)
| ~ value(in(n2,X1),n0) ),
or_00_0 ).
cnf(c_0_153,hypothesis,
value(in(n1,or1(h2(f))),n0),
inference(spm,[status(thm)],[c_0_140,c_0_141]) ).
cnf(c_0_154,negated_conjecture,
( mode(or1(f),ok)
| ~ mode(or1(h2(f)),abnormal) ),
inference(spm,[status(thm)],[c_0_142,c_0_84]) ).
cnf(c_0_155,hypothesis,
( mode(or1(h2(f)),abnormal)
| mode(or1(h2(f)),ok) ),
inference(spm,[status(thm)],[c_0_63,c_0_143]) ).
cnf(c_0_156,hypothesis,
( value(in(n2,or1(h2(f))),X1)
| ~ value(in(n2,h2(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_144]) ).
cnf(c_0_157,hypothesis,
( mode(or1(f),ok)
| value(in(n2,h2(f)),n0) ),
inference(spm,[status(thm)],[c_0_145,c_0_146]) ).
cnf(c_0_158,hypothesis,
connection(out(c,h1(f)),in(n2,or1(f))),
inference(spm,[status(thm)],[c_0_147,c_0_46]) ).
cnf(c_0_159,hypothesis,
( value(out(c,h1(f)),X1)
| ~ value(out(n1,and2(h1(f))),X1) ),
inference(spm,[status(thm)],[c_0_118,c_0_148]) ).
cnf(c_0_160,axiom,
( value(in(n2,X1),n0)
| ~ mode(X1,ok)
| ~ type(X1,or)
| ~ value(out(n1,X1),n0) ),
or_0_01 ).
cnf(c_0_161,hypothesis,
( value(out(n1,or1(f)),X1)
| ~ value(out(c,f),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_149]) ).
cnf(c_0_162,hypothesis,
value(out(c,f),n0),
outc_0 ).
cnf(c_0_163,axiom,
( equal_value(X2,X3)
| ~ value(X1,X2)
| ~ value(X1,X3) ),
unique_value ).
cnf(c_0_164,hypothesis,
( mode(or1(f),ok)
| value(out(n1,or1(h2(f))),n1) ),
inference(spm,[status(thm)],[c_0_150,c_0_151]) ).
cnf(c_0_165,hypothesis,
( value(out(n1,or1(h2(f))),n0)
| ~ mode(or1(h2(f)),ok)
| ~ value(in(n2,or1(h2(f))),n0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_143]),c_0_153])]) ).
cnf(c_0_166,negated_conjecture,
( mode(or1(h2(f)),ok)
| mode(or1(f),ok) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_167,hypothesis,
( mode(or1(f),ok)
| value(in(n2,or1(h2(f))),n0) ),
inference(spm,[status(thm)],[c_0_156,c_0_157]) ).
cnf(c_0_168,hypothesis,
( value(in(n2,or1(f)),X1)
| ~ value(out(c,h1(f)),X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_158]) ).
cnf(c_0_169,hypothesis,
value(out(c,h1(f)),n1),
inference(spm,[status(thm)],[c_0_159,c_0_82]) ).
cnf(c_0_170,hypothesis,
( value(in(n2,or1(f)),n0)
| ~ mode(or1(f),ok)
| ~ value(out(n1,or1(f)),n0) ),
inference(spm,[status(thm)],[c_0_160,c_0_77]) ).
cnf(c_0_171,hypothesis,
value(out(n1,or1(f)),n0),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_172,hypothesis,
( mode(or1(f),ok)
| equal_value(X1,n1)
| ~ value(out(n1,or1(h2(f))),X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_173,negated_conjecture,
( mode(or1(f),ok)
| value(out(n1,or1(h2(f))),n0) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]) ).
cnf(c_0_174,axiom,
~ equal_value(n0,n1),
equal_value1 ).
cnf(c_0_175,hypothesis,
value(in(n2,or1(f)),n1),
inference(spm,[status(thm)],[c_0_168,c_0_169]) ).
cnf(c_0_176,hypothesis,
( value(in(n2,or1(f)),n0)
| ~ mode(or1(f),ok) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_170,c_0_171])]) ).
cnf(c_0_177,hypothesis,
mode(or1(f),ok),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_174]) ).
cnf(c_0_178,hypothesis,
( equal_value(X1,n1)
| ~ value(in(n2,or1(f)),X1) ),
inference(spm,[status(thm)],[c_0_163,c_0_175]) ).
cnf(c_0_179,hypothesis,
value(in(n2,or1(f)),n0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_176,c_0_177])]) ).
cnf(c_0_180,hypothesis,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_174]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : HWV007-1 : TPTP v8.1.2. Released v2.1.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n003.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 29 14:26:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.46/0.59 start to proof: theBenchmark
% 0.46/0.62 % Version : CSE_E---1.5
% 0.46/0.62 % Problem : theBenchmark.p
% 0.46/0.62 % Proof found
% 0.46/0.62 % SZS status Theorem for theBenchmark.p
% 0.46/0.62 % SZS output start Proof
% See solution above
% 0.58/0.63 % Total time : 0.027000 s
% 0.58/0.63 % SZS output end Proof
% 0.58/0.63 % Total time : 0.029000 s
%------------------------------------------------------------------------------