TSTP Solution File: HWV006-2 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : HWV006-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 0.18s 0.62s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 76
% Syntax : Number of formulae : 207 ( 27 unt; 25 typ; 0 def)
% Number of atoms : 469 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 572 ( 285 ~; 287 |; 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 : 25 ( 24 >; 1 *; 0 +; 0 <<)
% 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 : 123 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
connection: ( $i * $i ) > $o ).
tff(decl_23,type,
zero: $i > $o ).
tff(decl_24,type,
one: $i > $o ).
tff(decl_25,type,
and_ok: $i > $o ).
tff(decl_26,type,
in1: $i > $i ).
tff(decl_27,type,
out1: $i > $i ).
tff(decl_28,type,
in2: $i > $i ).
tff(decl_29,type,
abnormal: $i > $o ).
tff(decl_30,type,
logic_and: $i > $o ).
tff(decl_31,type,
or_ok: $i > $o ).
tff(decl_32,type,
logic_or: $i > $o ).
tff(decl_33,type,
not_ok: $i > $o ).
tff(decl_34,type,
logic_not: $i > $o ).
tff(decl_35,type,
halfadder: $i > $o ).
tff(decl_36,type,
and1: $i > $i ).
tff(decl_37,type,
and2: $i > $i ).
tff(decl_38,type,
not1: $i > $i ).
tff(decl_39,type,
or1: $i > $i ).
tff(decl_40,type,
outs: $i > $i ).
tff(decl_41,type,
outc: $i > $i ).
tff(decl_42,type,
fulladder: $i > $o ).
tff(decl_43,type,
h1: $i > $i ).
tff(decl_44,type,
h2: $i > $i ).
tff(decl_45,type,
inc: $i > $i ).
tff(decl_46,type,
f: $i ).
cnf(not_ok_or_abnormal,axiom,
( not_ok(X1)
| abnormal(X1)
| ~ logic_not(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_ok_or_abnormal) ).
cnf(halfadder_not1,axiom,
( logic_not(not1(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_not1) ).
cnf(and_ok_or_abnormal,axiom,
( and_ok(X1)
| abnormal(X1)
| ~ logic_and(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).
cnf(halfadder_and1,axiom,
( logic_and(and1(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and1) ).
cnf(not_1_0_bw,axiom,
( zero(in1(X1))
| ~ not_ok(X1)
| ~ one(out1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_1_0_bw) ).
cnf(and_1_x1,axiom,
( one(in2(X1))
| ~ and_ok(X1)
| ~ one(out1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_1_x1) ).
cnf(value_propagation_zero2,axiom,
( zero(X1)
| ~ connection(X1,X2)
| ~ zero(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).
cnf(halfadder_connection_out1and2_in1not1,axiom,
( connection(out1(and2(X1)),in1(not1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1and2_in1not1) ).
cnf(diagnosis_or1_not1h2,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(not1(h2(f))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_not1h2) ).
cnf(value_propagation_one2,axiom,
( one(X1)
| ~ connection(X1,X2)
| ~ one(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).
cnf(halfadder_connection_out1not1_in2and1,axiom,
( connection(out1(not1(X1)),in2(and1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1not1_in2and1) ).
cnf(diagnosis_or1_and1h2,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(and1(h2(f))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1_and1h2) ).
cnf(and_0_00,axiom,
( zero(in1(X1))
| zero(in2(X1))
| ~ and_ok(X1)
| ~ zero(out1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_0_00) ).
cnf(unique_value,axiom,
( ~ zero(X1)
| ~ one(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',unique_value) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( connection(outc(X1),out1(and2(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).
cnf(diagnosis_and1h1,negated_conjecture,
~ abnormal(and1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and1h1) ).
cnf(value_propagation_one1,axiom,
( one(X2)
| ~ connection(X1,X2)
| ~ one(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).
cnf(not_0_1_fw,axiom,
( one(out1(X1))
| ~ not_ok(X1)
| ~ zero(in1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',not_0_1_fw) ).
cnf(or_ok_or_abnormal,axiom,
( or_ok(X1)
| abnormal(X1)
| ~ logic_or(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).
cnf(halfadder_or1,axiom,
( logic_or(or1(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_or1) ).
cnf(halfadder_and2,axiom,
( logic_and(and2(X1))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).
cnf(halfadder_connection_outs_out1and1,axiom,
( connection(outs(X1),out1(and1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outs_out1and1) ).
cnf(value_propagation_zero1,axiom,
( zero(X2)
| ~ connection(X1,X2)
| ~ zero(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).
cnf(diagnosis_not1h1,negated_conjecture,
~ abnormal(not1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_not1h1) ).
cnf(or_0_01,axiom,
( zero(in2(X1))
| ~ or_ok(X1)
| ~ zero(out1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_0_01) ).
cnf(halfadder_connection_in2_in2and2,axiom,
( connection(in2(X1),in2(and2(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2and2) ).
cnf(fulladder_connection_outch2_in1or1,axiom,
( connection(outc(h2(X1)),in1(or1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch2_in1or1) ).
cnf(fulladder_connection_inc_in2h1,axiom,
( connection(inc(X1),in2(h1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_inc_in2h1) ).
cnf(f_isa_fulladder,hypothesis,
fulladder(f),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f_isa_fulladder) ).
cnf(fulladder_connection_outs_outsh2,axiom,
( connection(outs(X1),outs(h2(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outs_outsh2) ).
cnf(diagnosis_or1h1,negated_conjecture,
~ abnormal(or1(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1h1) ).
cnf(halfadder_connection_in2_in2or1,axiom,
( connection(in2(X1),in2(or1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in2_in2or1) ).
cnf(inc_1,hypothesis,
one(inc(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inc_1) ).
cnf(diagnosis_and2,negated_conjecture,
~ abnormal(and2(h2(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2) ).
cnf(outs_1,hypothesis,
one(outs(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outs_1) ).
cnf(fulladder_or1,axiom,
( logic_or(or1(X1))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( connection(outc(X1),out1(or1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).
cnf(halfadder_connection_out1or1_in1_and1,axiom,
( connection(out1(or1(X1)),in1(and1(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_out1or1_in1_and1) ).
cnf(fulladder_halfadder2,axiom,
( halfadder(h2(X1))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).
cnf(or_0_0x,axiom,
( zero(in1(X1))
| ~ or_ok(X1)
| ~ zero(out1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_0_0x) ).
cnf(outc_0,hypothesis,
zero(outc(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
cnf(fulladder_connection_outsh1_in2h2,axiom,
( connection(outs(h1(X1)),in2(h2(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outsh1_in2h2) ).
cnf(and_0x_0,axiom,
( zero(out1(X1))
| ~ and_ok(X1)
| ~ zero(in1(X1)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_0x_0) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( connection(outc(h1(X1)),in2(or1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( connection(in1(X1),in1(and2(X1)))
| ~ halfadder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).
cnf(diagnosis_and2h1,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1) ).
cnf(fulladder_halfadder1,axiom,
( halfadder(h1(X1))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( connection(in2(X1),in1(h1(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).
cnf(in2_0,hypothesis,
zero(in2(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in2_0) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( connection(in1(X1),in1(h2(X1)))
| ~ fulladder(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).
cnf(in1_1,hypothesis,
one(in1(f)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',in1_1) ).
cnf(c_0_51,axiom,
( not_ok(X1)
| abnormal(X1)
| ~ logic_not(X1) ),
not_ok_or_abnormal ).
cnf(c_0_52,axiom,
( logic_not(not1(X1))
| ~ halfadder(X1) ),
halfadder_not1 ).
cnf(c_0_53,axiom,
( and_ok(X1)
| abnormal(X1)
| ~ logic_and(X1) ),
and_ok_or_abnormal ).
cnf(c_0_54,axiom,
( logic_and(and1(X1))
| ~ halfadder(X1) ),
halfadder_and1 ).
cnf(c_0_55,axiom,
( zero(in1(X1))
| ~ not_ok(X1)
| ~ one(out1(X1)) ),
not_1_0_bw ).
cnf(c_0_56,plain,
( not_ok(not1(X1))
| abnormal(not1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,axiom,
( one(in2(X1))
| ~ and_ok(X1)
| ~ one(out1(X1)) ),
and_1_x1 ).
cnf(c_0_58,plain,
( abnormal(and1(X1))
| and_ok(and1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,axiom,
( zero(X1)
| ~ connection(X1,X2)
| ~ zero(X2) ),
value_propagation_zero2 ).
cnf(c_0_60,axiom,
( connection(out1(and2(X1)),in1(not1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1and2_in1not1 ).
cnf(c_0_61,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(not1(h2(f))) ),
diagnosis_or1_not1h2 ).
cnf(c_0_62,plain,
( abnormal(not1(X1))
| zero(in1(not1(X1)))
| ~ halfadder(X1)
| ~ one(out1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_63,axiom,
( one(X1)
| ~ connection(X1,X2)
| ~ one(X2) ),
value_propagation_one2 ).
cnf(c_0_64,axiom,
( connection(out1(not1(X1)),in2(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1not1_in2and1 ).
cnf(c_0_65,negated_conjecture,
( ~ abnormal(or1(f))
| ~ abnormal(and1(h2(f))) ),
diagnosis_or1_and1h2 ).
cnf(c_0_66,plain,
( abnormal(and1(X1))
| one(in2(and1(X1)))
| ~ halfadder(X1)
| ~ one(out1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,axiom,
( zero(in1(X1))
| zero(in2(X1))
| ~ and_ok(X1)
| ~ zero(out1(X1)) ),
and_0_00 ).
cnf(c_0_68,plain,
( zero(out1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(in1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_60]) ).
cnf(c_0_69,negated_conjecture,
( zero(in1(not1(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(out1(not1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_70,plain,
( one(out1(not1(X1)))
| ~ halfadder(X1)
| ~ one(in2(and1(X1))) ),
inference(spm,[status(thm)],[c_0_63,c_0_64]) ).
cnf(c_0_71,negated_conjecture,
( one(in2(and1(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(out1(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_72,axiom,
( ~ zero(X1)
| ~ one(X1) ),
unique_value ).
cnf(c_0_73,plain,
( abnormal(and1(X1))
| zero(in2(and1(X1)))
| zero(in1(and1(X1)))
| ~ halfadder(X1)
| ~ zero(out1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_67,c_0_58]) ).
cnf(c_0_74,axiom,
( connection(outc(X1),out1(and2(X1)))
| ~ halfadder(X1) ),
halfadder_connection_outc_out1and2 ).
cnf(c_0_75,negated_conjecture,
( zero(out1(and2(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(out1(not1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
( one(out1(not1(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(out1(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
~ abnormal(and1(h1(f))),
diagnosis_and1h1 ).
cnf(c_0_78,plain,
( abnormal(and1(X1))
| zero(in1(and1(X1)))
| ~ halfadder(X1)
| ~ one(in2(and1(X1)))
| ~ zero(out1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_72,c_0_73]) ).
cnf(c_0_79,axiom,
( one(X2)
| ~ connection(X1,X2)
| ~ one(X1) ),
value_propagation_one1 ).
cnf(c_0_80,axiom,
( one(out1(X1))
| ~ not_ok(X1)
| ~ zero(in1(X1)) ),
not_0_1_fw ).
cnf(c_0_81,axiom,
( or_ok(X1)
| abnormal(X1)
| ~ logic_or(X1) ),
or_ok_or_abnormal ).
cnf(c_0_82,axiom,
( logic_or(or1(X1))
| ~ halfadder(X1) ),
halfadder_or1 ).
cnf(c_0_83,axiom,
( logic_and(and2(X1))
| ~ halfadder(X1) ),
halfadder_and2 ).
cnf(c_0_84,plain,
( zero(outc(X1))
| ~ halfadder(X1)
| ~ zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_74]) ).
cnf(c_0_85,negated_conjecture,
( zero(out1(and2(h2(f))))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(out1(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_86,axiom,
( connection(outs(X1),out1(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_outs_out1and1 ).
cnf(c_0_87,negated_conjecture,
( zero(in1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ one(in2(and1(h1(f))))
| ~ zero(out1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_77,c_0_78]) ).
cnf(c_0_88,plain,
( one(in2(and1(X1)))
| ~ halfadder(X1)
| ~ one(out1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_79,c_0_64]) ).
cnf(c_0_89,axiom,
( zero(X2)
| ~ connection(X1,X2)
| ~ zero(X1) ),
value_propagation_zero1 ).
cnf(c_0_90,negated_conjecture,
~ abnormal(not1(h1(f))),
diagnosis_not1h1 ).
cnf(c_0_91,plain,
( abnormal(not1(X1))
| one(out1(not1(X1)))
| ~ halfadder(X1)
| ~ zero(in1(not1(X1))) ),
inference(spm,[status(thm)],[c_0_80,c_0_56]) ).
cnf(c_0_92,axiom,
( zero(in2(X1))
| ~ or_ok(X1)
| ~ zero(out1(X1)) ),
or_0_01 ).
cnf(c_0_93,plain,
( or_ok(or1(X1))
| abnormal(or1(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_82]) ).
cnf(c_0_94,axiom,
( connection(in2(X1),in2(and2(X1)))
| ~ halfadder(X1) ),
halfadder_connection_in2_in2and2 ).
cnf(c_0_95,plain,
( abnormal(and2(X1))
| and_ok(and2(X1))
| ~ halfadder(X1) ),
inference(spm,[status(thm)],[c_0_53,c_0_83]) ).
cnf(c_0_96,axiom,
( connection(outc(h2(X1)),in1(or1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outch2_in1or1 ).
cnf(c_0_97,negated_conjecture,
( zero(outc(h2(f)))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(out1(and1(h2(f)))) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_98,plain,
( one(out1(and1(X1)))
| ~ halfadder(X1)
| ~ one(outs(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_86]) ).
cnf(c_0_99,negated_conjecture,
( zero(in1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ one(out1(not1(h1(f))))
| ~ zero(out1(and1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_87,c_0_88]) ).
cnf(c_0_100,plain,
( zero(out1(and1(X1)))
| ~ halfadder(X1)
| ~ zero(outs(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_86]) ).
cnf(c_0_101,negated_conjecture,
( one(out1(not1(h1(f))))
| ~ halfadder(h1(f))
| ~ zero(in1(not1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_90,c_0_91]) ).
cnf(c_0_102,plain,
( zero(in1(not1(X1)))
| ~ halfadder(X1)
| ~ zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_89,c_0_60]) ).
cnf(c_0_103,plain,
( abnormal(or1(X1))
| zero(in2(or1(X1)))
| ~ halfadder(X1)
| ~ zero(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_104,axiom,
( connection(inc(X1),in2(h1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_inc_in2h1 ).
cnf(c_0_105,plain,
( zero(in2(X1))
| ~ halfadder(X1)
| ~ zero(in2(and2(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_94]) ).
cnf(c_0_106,plain,
( abnormal(and2(X1))
| zero(in2(and2(X1)))
| zero(in1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_67,c_0_95]) ).
cnf(c_0_107,plain,
( zero(in1(or1(X1)))
| ~ fulladder(X1)
| ~ zero(outc(h2(X1))) ),
inference(spm,[status(thm)],[c_0_89,c_0_96]) ).
cnf(c_0_108,negated_conjecture,
( zero(outc(h2(f)))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(outs(h2(f))) ),
inference(spm,[status(thm)],[c_0_97,c_0_98]) ).
cnf(c_0_109,hypothesis,
fulladder(f),
f_isa_fulladder ).
cnf(c_0_110,axiom,
( connection(outs(X1),outs(h2(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outs_outsh2 ).
cnf(c_0_111,negated_conjecture,
( zero(in1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ one(out1(not1(h1(f))))
| ~ zero(outs(h1(f))) ),
inference(spm,[status(thm)],[c_0_99,c_0_100]) ).
cnf(c_0_112,negated_conjecture,
( one(out1(not1(h1(f))))
| ~ halfadder(h1(f))
| ~ zero(out1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
cnf(c_0_113,negated_conjecture,
~ abnormal(or1(h1(f))),
diagnosis_or1h1 ).
cnf(c_0_114,plain,
( abnormal(or1(X1))
| ~ halfadder(X1)
| ~ one(in2(or1(X1)))
| ~ zero(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_72,c_0_103]) ).
cnf(c_0_115,axiom,
( connection(in2(X1),in2(or1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_in2_in2or1 ).
cnf(c_0_116,plain,
( one(in2(h1(X1)))
| ~ fulladder(X1)
| ~ one(inc(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_104]) ).
cnf(c_0_117,hypothesis,
one(inc(f)),
inc_1 ).
cnf(c_0_118,negated_conjecture,
~ abnormal(and2(h2(f))),
diagnosis_and2 ).
cnf(c_0_119,plain,
( abnormal(and2(X1))
| zero(in1(and2(X1)))
| zero(in2(X1))
| ~ halfadder(X1)
| ~ zero(out1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_105,c_0_106]) ).
cnf(c_0_120,negated_conjecture,
( zero(in1(or1(f)))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f))
| ~ one(outs(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_107,c_0_108]),c_0_109])]) ).
cnf(c_0_121,plain,
( one(outs(h2(X1)))
| ~ fulladder(X1)
| ~ one(outs(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_110]) ).
cnf(c_0_122,hypothesis,
one(outs(f)),
outs_1 ).
cnf(c_0_123,axiom,
( logic_or(or1(X1))
| ~ fulladder(X1) ),
fulladder_or1 ).
cnf(c_0_124,axiom,
( connection(outc(X1),out1(or1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outc_out1or1 ).
cnf(c_0_125,axiom,
( connection(out1(or1(X1)),in1(and1(X1)))
| ~ halfadder(X1) ),
halfadder_connection_out1or1_in1_and1 ).
cnf(c_0_126,negated_conjecture,
( zero(in1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ zero(out1(and2(h1(f))))
| ~ zero(outs(h1(f))) ),
inference(spm,[status(thm)],[c_0_111,c_0_112]) ).
cnf(c_0_127,plain,
( zero(out1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(outc(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_74]) ).
cnf(c_0_128,negated_conjecture,
( ~ halfadder(h1(f))
| ~ one(in2(or1(h1(f))))
| ~ zero(out1(or1(h1(f)))) ),
inference(spm,[status(thm)],[c_0_113,c_0_114]) ).
cnf(c_0_129,plain,
( one(in2(or1(X1)))
| ~ halfadder(X1)
| ~ one(in2(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_115]) ).
cnf(c_0_130,hypothesis,
one(in2(h1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_116,c_0_117]),c_0_109])]) ).
cnf(c_0_131,negated_conjecture,
( zero(in1(and2(h2(f))))
| zero(in2(h2(f)))
| ~ halfadder(h2(f))
| ~ zero(out1(and2(h2(f)))) ),
inference(spm,[status(thm)],[c_0_118,c_0_119]) ).
cnf(c_0_132,negated_conjecture,
( zero(in1(or1(f)))
| ~ halfadder(h2(f))
| ~ abnormal(or1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_109]),c_0_122])]) ).
cnf(c_0_133,axiom,
( halfadder(h2(X1))
| ~ fulladder(X1) ),
fulladder_halfadder2 ).
cnf(c_0_134,axiom,
( zero(in1(X1))
| ~ or_ok(X1)
| ~ zero(out1(X1)) ),
or_0_0x ).
cnf(c_0_135,plain,
( or_ok(or1(X1))
| abnormal(or1(X1))
| ~ fulladder(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_123]) ).
cnf(c_0_136,plain,
( zero(out1(or1(X1)))
| ~ fulladder(X1)
| ~ zero(outc(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_124]) ).
cnf(c_0_137,hypothesis,
zero(outc(f)),
outc_0 ).
cnf(c_0_138,plain,
( zero(out1(or1(X1)))
| ~ halfadder(X1)
| ~ zero(in1(and1(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_125]) ).
cnf(c_0_139,negated_conjecture,
( zero(in1(and1(h1(f))))
| ~ halfadder(h1(f))
| ~ zero(outs(h1(f)))
| ~ zero(outc(h1(f))) ),
inference(spm,[status(thm)],[c_0_126,c_0_127]) ).
cnf(c_0_140,negated_conjecture,
( ~ halfadder(h1(f))
| ~ zero(out1(or1(h1(f)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_128,c_0_129]),c_0_130])]) ).
cnf(c_0_141,axiom,
( connection(outs(h1(X1)),in2(h2(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outsh1_in2h2 ).
cnf(c_0_142,negated_conjecture,
( zero(in1(and2(h2(f))))
| zero(in2(h2(f)))
| ~ halfadder(h2(f))
| ~ zero(outc(h2(f))) ),
inference(spm,[status(thm)],[c_0_131,c_0_127]) ).
cnf(c_0_143,negated_conjecture,
( zero(in1(or1(f)))
| ~ abnormal(or1(f)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_132,c_0_133]),c_0_109])]) ).
cnf(c_0_144,plain,
( abnormal(or1(X1))
| zero(in1(or1(X1)))
| ~ fulladder(X1)
| ~ zero(out1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_134,c_0_135]) ).
cnf(c_0_145,hypothesis,
zero(out1(or1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_109])]) ).
cnf(c_0_146,axiom,
( zero(out1(X1))
| ~ and_ok(X1)
| ~ zero(in1(X1)) ),
and_0x_0 ).
cnf(c_0_147,negated_conjecture,
( ~ halfadder(h1(f))
| ~ zero(outs(h1(f)))
| ~ zero(outc(h1(f))) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).
cnf(c_0_148,plain,
( zero(outs(h1(X1)))
| ~ fulladder(X1)
| ~ zero(in2(h2(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_141]) ).
cnf(c_0_149,axiom,
( connection(outc(h1(X1)),in2(or1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_outch1_in2or1 ).
cnf(c_0_150,negated_conjecture,
( zero(in2(h2(f)))
| ~ halfadder(h2(f))
| ~ one(in1(and2(h2(f))))
| ~ zero(outc(h2(f))) ),
inference(spm,[status(thm)],[c_0_72,c_0_142]) ).
cnf(c_0_151,plain,
( zero(outc(h2(X1)))
| ~ fulladder(X1)
| ~ zero(in1(or1(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_96]) ).
cnf(c_0_152,negated_conjecture,
zero(in1(or1(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_144]),c_0_109]),c_0_145])]) ).
cnf(c_0_153,axiom,
( connection(in1(X1),in1(and2(X1)))
| ~ halfadder(X1) ),
halfadder_connection_in1_in1and2 ).
cnf(c_0_154,negated_conjecture,
~ abnormal(and2(h1(f))),
diagnosis_and2h1 ).
cnf(c_0_155,plain,
( abnormal(and2(X1))
| zero(out1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(in1(and2(X1))) ),
inference(spm,[status(thm)],[c_0_146,c_0_95]) ).
cnf(c_0_156,negated_conjecture,
( ~ halfadder(h1(f))
| ~ zero(outc(h1(f)))
| ~ zero(in2(h2(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_148]),c_0_109])]) ).
cnf(c_0_157,plain,
( zero(outc(h1(X1)))
| ~ fulladder(X1)
| ~ zero(in2(or1(X1))) ),
inference(spm,[status(thm)],[c_0_59,c_0_149]) ).
cnf(c_0_158,negated_conjecture,
( zero(in2(h2(f)))
| ~ halfadder(h2(f))
| ~ one(in1(and2(h2(f)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_151]),c_0_109]),c_0_152])]) ).
cnf(c_0_159,plain,
( one(in1(and2(X1)))
| ~ halfadder(X1)
| ~ one(in1(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_153]) ).
cnf(c_0_160,negated_conjecture,
( zero(out1(and2(h1(f))))
| ~ halfadder(h1(f))
| ~ zero(in1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_154,c_0_155]) ).
cnf(c_0_161,negated_conjecture,
( ~ halfadder(h1(f))
| ~ zero(in2(h2(f)))
| ~ zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_157]),c_0_109])]) ).
cnf(c_0_162,negated_conjecture,
( zero(in2(h2(f)))
| ~ halfadder(h2(f))
| ~ one(in1(h2(f))) ),
inference(spm,[status(thm)],[c_0_158,c_0_159]) ).
cnf(c_0_163,negated_conjecture,
( zero(outc(h1(f)))
| ~ halfadder(h1(f))
| ~ zero(in1(and2(h1(f)))) ),
inference(spm,[status(thm)],[c_0_84,c_0_160]) ).
cnf(c_0_164,plain,
( zero(in1(and2(X1)))
| ~ halfadder(X1)
| ~ zero(in1(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_153]) ).
cnf(c_0_165,negated_conjecture,
( ~ halfadder(h1(f))
| ~ halfadder(h2(f))
| ~ one(in1(h2(f)))
| ~ zero(in2(or1(f))) ),
inference(spm,[status(thm)],[c_0_161,c_0_162]) ).
cnf(c_0_166,plain,
( zero(in2(or1(X1)))
| ~ fulladder(X1)
| ~ zero(outc(h1(X1))) ),
inference(spm,[status(thm)],[c_0_89,c_0_149]) ).
cnf(c_0_167,negated_conjecture,
( zero(outc(h1(f)))
| ~ halfadder(h1(f))
| ~ zero(in1(h1(f))) ),
inference(spm,[status(thm)],[c_0_163,c_0_164]) ).
cnf(c_0_168,negated_conjecture,
( ~ halfadder(h1(f))
| ~ one(in1(h2(f)))
| ~ zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_133]),c_0_109])]) ).
cnf(c_0_169,axiom,
( halfadder(h1(X1))
| ~ fulladder(X1) ),
fulladder_halfadder1 ).
cnf(c_0_170,negated_conjecture,
( zero(in2(or1(f)))
| ~ halfadder(h1(f))
| ~ zero(in1(h1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_166,c_0_167]),c_0_109])]) ).
cnf(c_0_171,negated_conjecture,
( ~ one(in1(h2(f)))
| ~ zero(in2(or1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_169]),c_0_109])]) ).
cnf(c_0_172,negated_conjecture,
( zero(in2(or1(f)))
| ~ zero(in1(h1(f))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_169]),c_0_109])]) ).
cnf(c_0_173,axiom,
( connection(in2(X1),in1(h1(X1)))
| ~ fulladder(X1) ),
fulladder_connection_in2_in1h1 ).
cnf(c_0_174,negated_conjecture,
( ~ one(in1(h2(f)))
| ~ zero(in1(h1(f))) ),
inference(spm,[status(thm)],[c_0_171,c_0_172]) ).
cnf(c_0_175,plain,
( zero(in1(h1(X1)))
| ~ fulladder(X1)
| ~ zero(in2(X1)) ),
inference(spm,[status(thm)],[c_0_89,c_0_173]) ).
cnf(c_0_176,hypothesis,
zero(in2(f)),
in2_0 ).
cnf(c_0_177,axiom,
( connection(in1(X1),in1(h2(X1)))
| ~ fulladder(X1) ),
fulladder_connection_in1_in1h2 ).
cnf(c_0_178,negated_conjecture,
~ one(in1(h2(f))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_175]),c_0_109]),c_0_176])]) ).
cnf(c_0_179,plain,
( one(in1(h2(X1)))
| ~ fulladder(X1)
| ~ one(in1(X1)) ),
inference(spm,[status(thm)],[c_0_79,c_0_177]) ).
cnf(c_0_180,hypothesis,
one(in1(f)),
in1_1 ).
cnf(c_0_181,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_179]),c_0_109]),c_0_180])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.15 % Problem : HWV006-2 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.36 % Computer : n001.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Tue Aug 29 14:20:07 EDT 2023
% 0.12/0.36 % CPUTime :
% 0.18/0.56 start to proof: theBenchmark
% 0.18/0.62 % Version : CSE_E---1.5
% 0.18/0.62 % Problem : theBenchmark.p
% 0.18/0.62 % Proof found
% 0.18/0.62 % SZS status Theorem for theBenchmark.p
% 0.18/0.62 % SZS output start Proof
% See solution above
% 0.18/0.63 % Total time : 0.052000 s
% 0.18/0.63 % SZS output end Proof
% 0.18/0.63 % Total time : 0.056000 s
%------------------------------------------------------------------------------