%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV008-2.002 : TPTP v8.1.0. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 18:29:35 EDT 2022
% Result : Unsatisfiable 0.23s 0.43s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of clauses : 124 ( 45 unt; 8 nHn; 124 RR)
% Number of literals : 231 ( 0 equ; 105 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 1 con; 0-1 aty)
% Number of variables : 26 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(value_propagation_zero1,axiom,
( ~ connection(P1,P2)
| ~ zero(P1)
| zero(P2) ) ).
cnf(value_propagation_one1,axiom,
( ~ connection(P1,P2)
| ~ one(P1)
| one(P2) ) ).
cnf(value_propagation_zero2,axiom,
( ~ connection(P1,P2)
| ~ zero(P2)
| zero(P1) ) ).
cnf(unique_value,axiom,
( ~ zero(P)
| ~ one(P) ) ).
cnf(and_0x_0,axiom,
( ~ and_ok(K)
| ~ zero(in1(K))
| zero(out1(K)) ) ).
cnf(and_ok_or_abnormal,axiom,
( ~ logic_and(K)
| and_ok(K)
| abnormal(K) ) ).
cnf(or_00_0,axiom,
( ~ or_ok(K)
| ~ zero(in1(K))
| ~ zero(in2(K))
| zero(out1(K)) ) ).
cnf(or_ok_or_abnormal,axiom,
( ~ logic_or(K)
| or_ok(K)
| abnormal(K) ) ).
cnf(halfadder_and2,axiom,
( ~ halfadder(X)
| logic_and(and2(X)) ) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( ~ halfadder(X)
| connection(in1(X),in1(and2(X))) ) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( ~ halfadder(X)
| connection(outc(X),out1(and2(X))) ) ).
cnf(fulladder_halfadder1,axiom,
( ~ fulladder(X)
| halfadder(h1(X)) ) ).
cnf(fulladder_halfadder2,axiom,
( ~ fulladder(X)
| halfadder(h2(X)) ) ).
cnf(fulladder_or1,axiom,
( ~ fulladder(X)
| logic_or(or1(X)) ) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( ~ fulladder(X)
| connection(outc(h1(X)),in2(or1(X))) ) ).
cnf(fulladder_connection_outch2_in1or1,axiom,
( ~ fulladder(X)
| connection(outc(h2(X)),in1(or1(X))) ) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( ~ fulladder(X)
| connection(in1(X),in1(h2(X))) ) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( ~ fulladder(X)
| connection(in2(X),in1(h1(X))) ) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( ~ fulladder(X)
| connection(outc(X),out1(or1(X))) ) ).
cnf(nbit_adder_fulladder2,axiom,
( ~ nbit_adder2(X)
| fulladder(f2(X)) ) ).
cnf(nbit_adder_connection_outc_outcf1,axiom,
( ~ nbit_adder2(X)
| connection(outc(X),outc(f2(X))) ) ).
cnf(nbit_adder_connection_ina2_in1f2,axiom,
( ~ nbit_adder2(X)
| connection(ina2(X),in1(f2(X))) ) ).
cnf(nbit_adder_connection_inb2_in2f2,axiom,
( ~ nbit_adder2(X)
| connection(inb2(X),in2(f2(X))) ) ).
cnf(a_isa_2bit_adder,hypothesis,
nbit_adder2(a) ).
cnf(ina2_0,hypothesis,
zero(ina2(a)) ).
cnf(inb2_0,hypothesis,
zero(inb2(a)) ).
cnf(outc_1,hypothesis,
one(outc(a)) ).
cnf(diagnosis_or1f2a,negated_conjecture,
~ abnormal(or1(f2(a))) ).
cnf(diagnosis_and2h1f2a,negated_conjecture,
~ abnormal(and2(h1(f2(a)))) ).
cnf(diagnosis_and2h2f2a,negated_conjecture,
~ abnormal(and2(h2(f2(a)))) ).
cnf(refute_0_0,plain,
( ~ one(out1(or1(f2(a))))
| ~ zero(out1(or1(f2(a)))) ),
inference(subst,[],[unique_value:[bind(P,$fot(out1(or1(f2(a)))))]]) ).
cnf(refute_0_1,plain,
( ~ nbit_adder2(a)
| fulladder(f2(a)) ),
inference(subst,[],[nbit_adder_fulladder2:[bind(X,$fot(a))]]) ).
cnf(refute_0_2,plain,
fulladder(f2(a)),
inference(resolve,[$cnf( nbit_adder2(a) )],[a_isa_2bit_adder,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ fulladder(f2(a))
| connection(outc(h1(f2(a))),in2(or1(f2(a)))) ),
inference(subst,[],[fulladder_connection_outch1_in2or1:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_4,plain,
connection(outc(h1(f2(a))),in2(or1(f2(a)))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ connection(outc(h1(f2(a))),in2(or1(f2(a))))
| ~ zero(outc(h1(f2(a))))
| zero(in2(or1(f2(a)))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(outc(h1(f2(a))))),bind(P2,$fot(in2(or1(f2(a)))))]]) ).
cnf(refute_0_6,plain,
( ~ zero(outc(h1(f2(a))))
| zero(in2(or1(f2(a)))) ),
inference(resolve,[$cnf( connection(outc(h1(f2(a))),in2(or1(f2(a)))) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ fulladder(f2(a))
| halfadder(h1(f2(a))) ),
inference(subst,[],[fulladder_halfadder1:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_8,plain,
halfadder(h1(f2(a))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ halfadder(h1(f2(a)))
| connection(outc(h1(f2(a))),out1(and2(h1(f2(a))))) ),
inference(subst,[],[halfadder_connection_outc_out1and2:[bind(X,$fot(h1(f2(a))))]]) ).
cnf(refute_0_10,plain,
connection(outc(h1(f2(a))),out1(and2(h1(f2(a))))),
inference(resolve,[$cnf( halfadder(h1(f2(a))) )],[refute_0_8,refute_0_9]) ).
cnf(refute_0_11,plain,
( ~ connection(outc(h1(f2(a))),out1(and2(h1(f2(a)))))
| ~ zero(out1(and2(h1(f2(a)))))
| zero(outc(h1(f2(a)))) ),
inference(subst,[],[value_propagation_zero2:[bind(P1,$fot(outc(h1(f2(a))))),bind(P2,$fot(out1(and2(h1(f2(a))))))]]) ).
cnf(refute_0_12,plain,
( ~ zero(out1(and2(h1(f2(a)))))
| zero(outc(h1(f2(a)))) ),
inference(resolve,[$cnf( connection(outc(h1(f2(a))),out1(and2(h1(f2(a))))) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ and_ok(and2(h1(f2(a))))
| ~ zero(in1(and2(h1(f2(a)))))
| zero(out1(and2(h1(f2(a))))) ),
inference(subst,[],[and_0x_0:[bind(K,$fot(and2(h1(f2(a)))))]]) ).
cnf(refute_0_14,plain,
( ~ halfadder(h1(f2(a)))
| connection(in1(h1(f2(a))),in1(and2(h1(f2(a))))) ),
inference(subst,[],[halfadder_connection_in1_in1and2:[bind(X,$fot(h1(f2(a))))]]) ).
cnf(refute_0_15,plain,
connection(in1(h1(f2(a))),in1(and2(h1(f2(a))))),
inference(resolve,[$cnf( halfadder(h1(f2(a))) )],[refute_0_8,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ connection(in1(h1(f2(a))),in1(and2(h1(f2(a)))))
| ~ zero(in1(h1(f2(a))))
| zero(in1(and2(h1(f2(a))))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(in1(h1(f2(a))))),bind(P2,$fot(in1(and2(h1(f2(a))))))]]) ).
cnf(refute_0_17,plain,
( ~ zero(in1(h1(f2(a))))
| zero(in1(and2(h1(f2(a))))) ),
inference(resolve,[$cnf( connection(in1(h1(f2(a))),in1(and2(h1(f2(a))))) )],[refute_0_15,refute_0_16]) ).
cnf(refute_0_18,plain,
( ~ fulladder(f2(a))
| connection(in2(f2(a)),in1(h1(f2(a)))) ),
inference(subst,[],[fulladder_connection_in2_in1h1:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_19,plain,
connection(in2(f2(a)),in1(h1(f2(a)))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ connection(in2(f2(a)),in1(h1(f2(a))))
| ~ zero(in2(f2(a)))
| zero(in1(h1(f2(a)))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(in2(f2(a)))),bind(P2,$fot(in1(h1(f2(a)))))]]) ).
cnf(refute_0_21,plain,
( ~ zero(in2(f2(a)))
| zero(in1(h1(f2(a)))) ),
inference(resolve,[$cnf( connection(in2(f2(a)),in1(h1(f2(a)))) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ nbit_adder2(a)
| connection(inb2(a),in2(f2(a))) ),
inference(subst,[],[nbit_adder_connection_inb2_in2f2:[bind(X,$fot(a))]]) ).
cnf(refute_0_23,plain,
connection(inb2(a),in2(f2(a))),
inference(resolve,[$cnf( nbit_adder2(a) )],[a_isa_2bit_adder,refute_0_22]) ).
cnf(refute_0_24,plain,
( ~ connection(inb2(a),in2(f2(a)))
| ~ zero(inb2(a))
| zero(in2(f2(a))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(inb2(a))),bind(P2,$fot(in2(f2(a))))]]) ).
cnf(refute_0_25,plain,
( ~ zero(inb2(a))
| zero(in2(f2(a))) ),
inference(resolve,[$cnf( connection(inb2(a),in2(f2(a))) )],[refute_0_23,refute_0_24]) ).
cnf(refute_0_26,plain,
zero(in2(f2(a))),
inference(resolve,[$cnf( zero(inb2(a)) )],[inb2_0,refute_0_25]) ).
cnf(refute_0_27,plain,
zero(in1(h1(f2(a)))),
inference(resolve,[$cnf( zero(in2(f2(a))) )],[refute_0_26,refute_0_21]) ).
cnf(refute_0_28,plain,
zero(in1(and2(h1(f2(a))))),
inference(resolve,[$cnf( zero(in1(h1(f2(a)))) )],[refute_0_27,refute_0_17]) ).
cnf(refute_0_29,plain,
( ~ and_ok(and2(h1(f2(a))))
| zero(out1(and2(h1(f2(a))))) ),
inference(resolve,[$cnf( zero(in1(and2(h1(f2(a))))) )],[refute_0_28,refute_0_13]) ).
cnf(refute_0_30,plain,
( ~ halfadder(h1(f2(a)))
| logic_and(and2(h1(f2(a)))) ),
inference(subst,[],[halfadder_and2:[bind(X,$fot(h1(f2(a))))]]) ).
cnf(refute_0_31,plain,
logic_and(and2(h1(f2(a)))),
inference(resolve,[$cnf( halfadder(h1(f2(a))) )],[refute_0_8,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ logic_and(and2(h1(f2(a))))
| abnormal(and2(h1(f2(a))))
| and_ok(and2(h1(f2(a)))) ),
inference(subst,[],[and_ok_or_abnormal:[bind(K,$fot(and2(h1(f2(a)))))]]) ).
cnf(refute_0_33,plain,
( abnormal(and2(h1(f2(a))))
| and_ok(and2(h1(f2(a)))) ),
inference(resolve,[$cnf( logic_and(and2(h1(f2(a)))) )],[refute_0_31,refute_0_32]) ).
cnf(refute_0_34,plain,
and_ok(and2(h1(f2(a)))),
inference(resolve,[$cnf( abnormal(and2(h1(f2(a)))) )],[refute_0_33,diagnosis_and2h1f2a]) ).
cnf(refute_0_35,plain,
zero(out1(and2(h1(f2(a))))),
inference(resolve,[$cnf( and_ok(and2(h1(f2(a)))) )],[refute_0_34,refute_0_29]) ).
cnf(refute_0_36,plain,
zero(outc(h1(f2(a)))),
inference(resolve,[$cnf( zero(out1(and2(h1(f2(a))))) )],[refute_0_35,refute_0_12]) ).
cnf(refute_0_37,plain,
zero(in2(or1(f2(a)))),
inference(resolve,[$cnf( zero(outc(h1(f2(a)))) )],[refute_0_36,refute_0_6]) ).
cnf(refute_0_38,plain,
( ~ or_ok(or1(f2(a)))
| ~ zero(in1(or1(f2(a))))
| ~ zero(in2(or1(f2(a))))
| zero(out1(or1(f2(a)))) ),
inference(subst,[],[or_00_0:[bind(K,$fot(or1(f2(a))))]]) ).
cnf(refute_0_39,plain,
( ~ or_ok(or1(f2(a)))
| ~ zero(in1(or1(f2(a))))
| zero(out1(or1(f2(a)))) ),
inference(resolve,[$cnf( zero(in2(or1(f2(a)))) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ fulladder(f2(a))
| logic_or(or1(f2(a))) ),
inference(subst,[],[fulladder_or1:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_41,plain,
logic_or(or1(f2(a))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ logic_or(or1(f2(a)))
| abnormal(or1(f2(a)))
| or_ok(or1(f2(a))) ),
inference(subst,[],[or_ok_or_abnormal:[bind(K,$fot(or1(f2(a))))]]) ).
cnf(refute_0_43,plain,
( abnormal(or1(f2(a)))
| or_ok(or1(f2(a))) ),
inference(resolve,[$cnf( logic_or(or1(f2(a))) )],[refute_0_41,refute_0_42]) ).
cnf(refute_0_44,plain,
or_ok(or1(f2(a))),
inference(resolve,[$cnf( abnormal(or1(f2(a))) )],[refute_0_43,diagnosis_or1f2a]) ).
cnf(refute_0_45,plain,
( ~ zero(in1(or1(f2(a))))
| zero(out1(or1(f2(a)))) ),
inference(resolve,[$cnf( or_ok(or1(f2(a))) )],[refute_0_44,refute_0_39]) ).
cnf(refute_0_46,plain,
( ~ fulladder(f2(a))
| connection(outc(h2(f2(a))),in1(or1(f2(a)))) ),
inference(subst,[],[fulladder_connection_outch2_in1or1:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_47,plain,
connection(outc(h2(f2(a))),in1(or1(f2(a)))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_46]) ).
cnf(refute_0_48,plain,
( ~ connection(outc(h2(f2(a))),in1(or1(f2(a))))
| ~ zero(outc(h2(f2(a))))
| zero(in1(or1(f2(a)))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(outc(h2(f2(a))))),bind(P2,$fot(in1(or1(f2(a)))))]]) ).
cnf(refute_0_49,plain,
( ~ zero(outc(h2(f2(a))))
| zero(in1(or1(f2(a)))) ),
inference(resolve,[$cnf( connection(outc(h2(f2(a))),in1(or1(f2(a)))) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
( ~ fulladder(f2(a))
| halfadder(h2(f2(a))) ),
inference(subst,[],[fulladder_halfadder2:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_51,plain,
halfadder(h2(f2(a))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_50]) ).
cnf(refute_0_52,plain,
( ~ halfadder(h2(f2(a)))
| connection(outc(h2(f2(a))),out1(and2(h2(f2(a))))) ),
inference(subst,[],[halfadder_connection_outc_out1and2:[bind(X,$fot(h2(f2(a))))]]) ).
cnf(refute_0_53,plain,
connection(outc(h2(f2(a))),out1(and2(h2(f2(a))))),
inference(resolve,[$cnf( halfadder(h2(f2(a))) )],[refute_0_51,refute_0_52]) ).
cnf(refute_0_54,plain,
( ~ connection(outc(h2(f2(a))),out1(and2(h2(f2(a)))))
| ~ zero(out1(and2(h2(f2(a)))))
| zero(outc(h2(f2(a)))) ),
inference(subst,[],[value_propagation_zero2:[bind(P1,$fot(outc(h2(f2(a))))),bind(P2,$fot(out1(and2(h2(f2(a))))))]]) ).
cnf(refute_0_55,plain,
( ~ zero(out1(and2(h2(f2(a)))))
| zero(outc(h2(f2(a)))) ),
inference(resolve,[$cnf( connection(outc(h2(f2(a))),out1(and2(h2(f2(a))))) )],[refute_0_53,refute_0_54]) ).
cnf(refute_0_56,plain,
( ~ and_ok(and2(h2(f2(a))))
| ~ zero(in1(and2(h2(f2(a)))))
| zero(out1(and2(h2(f2(a))))) ),
inference(subst,[],[and_0x_0:[bind(K,$fot(and2(h2(f2(a)))))]]) ).
cnf(refute_0_57,plain,
( ~ halfadder(h2(f2(a)))
| connection(in1(h2(f2(a))),in1(and2(h2(f2(a))))) ),
inference(subst,[],[halfadder_connection_in1_in1and2:[bind(X,$fot(h2(f2(a))))]]) ).
cnf(refute_0_58,plain,
connection(in1(h2(f2(a))),in1(and2(h2(f2(a))))),
inference(resolve,[$cnf( halfadder(h2(f2(a))) )],[refute_0_51,refute_0_57]) ).
cnf(refute_0_59,plain,
( ~ connection(in1(h2(f2(a))),in1(and2(h2(f2(a)))))
| ~ zero(in1(h2(f2(a))))
| zero(in1(and2(h2(f2(a))))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(in1(h2(f2(a))))),bind(P2,$fot(in1(and2(h2(f2(a))))))]]) ).
cnf(refute_0_60,plain,
( ~ zero(in1(h2(f2(a))))
| zero(in1(and2(h2(f2(a))))) ),
inference(resolve,[$cnf( connection(in1(h2(f2(a))),in1(and2(h2(f2(a))))) )],[refute_0_58,refute_0_59]) ).
cnf(refute_0_61,plain,
( ~ fulladder(f2(a))
| connection(in1(f2(a)),in1(h2(f2(a)))) ),
inference(subst,[],[fulladder_connection_in1_in1h2:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_62,plain,
connection(in1(f2(a)),in1(h2(f2(a)))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_61]) ).
cnf(refute_0_63,plain,
( ~ connection(in1(f2(a)),in1(h2(f2(a))))
| ~ zero(in1(f2(a)))
| zero(in1(h2(f2(a)))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(in1(f2(a)))),bind(P2,$fot(in1(h2(f2(a)))))]]) ).
cnf(refute_0_64,plain,
( ~ zero(in1(f2(a)))
| zero(in1(h2(f2(a)))) ),
inference(resolve,[$cnf( connection(in1(f2(a)),in1(h2(f2(a)))) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
( ~ nbit_adder2(a)
| connection(ina2(a),in1(f2(a))) ),
inference(subst,[],[nbit_adder_connection_ina2_in1f2:[bind(X,$fot(a))]]) ).
cnf(refute_0_66,plain,
connection(ina2(a),in1(f2(a))),
inference(resolve,[$cnf( nbit_adder2(a) )],[a_isa_2bit_adder,refute_0_65]) ).
cnf(refute_0_67,plain,
( ~ connection(ina2(a),in1(f2(a)))
| ~ zero(ina2(a))
| zero(in1(f2(a))) ),
inference(subst,[],[value_propagation_zero1:[bind(P1,$fot(ina2(a))),bind(P2,$fot(in1(f2(a))))]]) ).
cnf(refute_0_68,plain,
( ~ zero(ina2(a))
| zero(in1(f2(a))) ),
inference(resolve,[$cnf( connection(ina2(a),in1(f2(a))) )],[refute_0_66,refute_0_67]) ).
cnf(refute_0_69,plain,
zero(in1(f2(a))),
inference(resolve,[$cnf( zero(ina2(a)) )],[ina2_0,refute_0_68]) ).
cnf(refute_0_70,plain,
zero(in1(h2(f2(a)))),
inference(resolve,[$cnf( zero(in1(f2(a))) )],[refute_0_69,refute_0_64]) ).
cnf(refute_0_71,plain,
zero(in1(and2(h2(f2(a))))),
inference(resolve,[$cnf( zero(in1(h2(f2(a)))) )],[refute_0_70,refute_0_60]) ).
cnf(refute_0_72,plain,
( ~ and_ok(and2(h2(f2(a))))
| zero(out1(and2(h2(f2(a))))) ),
inference(resolve,[$cnf( zero(in1(and2(h2(f2(a))))) )],[refute_0_71,refute_0_56]) ).
cnf(refute_0_73,plain,
( ~ halfadder(h2(f2(a)))
| logic_and(and2(h2(f2(a)))) ),
inference(subst,[],[halfadder_and2:[bind(X,$fot(h2(f2(a))))]]) ).
cnf(refute_0_74,plain,
logic_and(and2(h2(f2(a)))),
inference(resolve,[$cnf( halfadder(h2(f2(a))) )],[refute_0_51,refute_0_73]) ).
cnf(refute_0_75,plain,
( ~ logic_and(and2(h2(f2(a))))
| abnormal(and2(h2(f2(a))))
| and_ok(and2(h2(f2(a)))) ),
inference(subst,[],[and_ok_or_abnormal:[bind(K,$fot(and2(h2(f2(a)))))]]) ).
cnf(refute_0_76,plain,
( abnormal(and2(h2(f2(a))))
| and_ok(and2(h2(f2(a)))) ),
inference(resolve,[$cnf( logic_and(and2(h2(f2(a)))) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
and_ok(and2(h2(f2(a)))),
inference(resolve,[$cnf( abnormal(and2(h2(f2(a)))) )],[refute_0_76,diagnosis_and2h2f2a]) ).
cnf(refute_0_78,plain,
zero(out1(and2(h2(f2(a))))),
inference(resolve,[$cnf( and_ok(and2(h2(f2(a)))) )],[refute_0_77,refute_0_72]) ).
cnf(refute_0_79,plain,
zero(outc(h2(f2(a)))),
inference(resolve,[$cnf( zero(out1(and2(h2(f2(a))))) )],[refute_0_78,refute_0_55]) ).
cnf(refute_0_80,plain,
zero(in1(or1(f2(a)))),
inference(resolve,[$cnf( zero(outc(h2(f2(a)))) )],[refute_0_79,refute_0_49]) ).
cnf(refute_0_81,plain,
zero(out1(or1(f2(a)))),
inference(resolve,[$cnf( zero(in1(or1(f2(a)))) )],[refute_0_80,refute_0_45]) ).
cnf(refute_0_82,plain,
~ one(out1(or1(f2(a)))),
inference(resolve,[$cnf( zero(out1(or1(f2(a)))) )],[refute_0_81,refute_0_0]) ).
cnf(refute_0_83,plain,
( ~ fulladder(f2(a))
| connection(outc(f2(a)),out1(or1(f2(a)))) ),
inference(subst,[],[fulladder_connection_outc_out1or1:[bind(X,$fot(f2(a)))]]) ).
cnf(refute_0_84,plain,
connection(outc(f2(a)),out1(or1(f2(a)))),
inference(resolve,[$cnf( fulladder(f2(a)) )],[refute_0_2,refute_0_83]) ).
cnf(refute_0_85,plain,
( ~ connection(outc(f2(a)),out1(or1(f2(a))))
| ~ one(outc(f2(a)))
| one(out1(or1(f2(a)))) ),
inference(subst,[],[value_propagation_one1:[bind(P1,$fot(outc(f2(a)))),bind(P2,$fot(out1(or1(f2(a)))))]]) ).
cnf(refute_0_86,plain,
( ~ one(outc(f2(a)))
| one(out1(or1(f2(a)))) ),
inference(resolve,[$cnf( connection(outc(f2(a)),out1(or1(f2(a)))) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( ~ nbit_adder2(a)
| connection(outc(a),outc(f2(a))) ),
inference(subst,[],[nbit_adder_connection_outc_outcf1:[bind(X,$fot(a))]]) ).
cnf(refute_0_88,plain,
connection(outc(a),outc(f2(a))),
inference(resolve,[$cnf( nbit_adder2(a) )],[a_isa_2bit_adder,refute_0_87]) ).
cnf(refute_0_89,plain,
( ~ connection(outc(a),outc(f2(a)))
| ~ one(outc(a))
| one(outc(f2(a))) ),
inference(subst,[],[value_propagation_one1:[bind(P1,$fot(outc(a))),bind(P2,$fot(outc(f2(a))))]]) ).
cnf(refute_0_90,plain,
( ~ one(outc(a))
| one(outc(f2(a))) ),
inference(resolve,[$cnf( connection(outc(a),outc(f2(a))) )],[refute_0_88,refute_0_89]) ).
cnf(refute_0_91,plain,
one(outc(f2(a))),
inference(resolve,[$cnf( one(outc(a)) )],[outc_1,refute_0_90]) ).
cnf(refute_0_92,plain,
one(out1(or1(f2(a)))),
inference(resolve,[$cnf( one(outc(f2(a))) )],[refute_0_91,refute_0_86]) ).
cnf(refute_0_93,plain,
$false,
inference(resolve,[$cnf( one(out1(or1(f2(a)))) )],[refute_0_92,refute_0_82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : HWV008-2.002 : TPTP v8.1.0. Bugfixed v2.7.0.
% 0.13/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.36 % Computer : n013.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Fri Jun 17 01:37:14 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.23/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.43
% 0.23/0.43 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.23/0.44
%------------------------------------------------------------------------------