%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : HWV008-2.001 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n021.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 May 9 17:24:55 EDT 2024
% Result : Unsatisfiable 0.72s 0.90s
% Output : Refutation 0.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 31
% Syntax : Number of clauses : 89 ( 43 unt; 10 nHn; 89 RR)
% Number of literals : 145 ( 0 equ; 51 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 : 28 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unique_value,axiom,
( ~ zero(X2)
| ~ one(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',unique_value) ).
cnf(value_propagation_one1,axiom,
( ~ connection(X8,X9)
| ~ one(X8)
| one(X9) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one1) ).
cnf(fulladder_halfadder2,axiom,
( ~ fulladder(X17)
| halfadder(h2(X17)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder2) ).
cnf(a_isa_1bit_adder,plain,
nbit_adder1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_isa_1bit_adder) ).
cnf(nbit_adder_fulladder1,axiom,
( ~ nbit_adder1(X19)
| fulladder(f1(X19)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_fulladder1) ).
cnf(c1,plain,
fulladder(f1(a)),
inference(resolution,[status(thm)],[nbit_adder_fulladder1,a_isa_1bit_adder]) ).
cnf(c2,plain,
halfadder(h2(f1(a))),
inference(resolution,[status(thm)],[c1,fulladder_halfadder2]) ).
cnf(halfadder_connection_outc_out1and2,axiom,
( ~ halfadder(X46)
| connection(outc(X46),out1(and2(X46))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_outc_out1and2) ).
cnf(c37,plain,
connection(outc(h2(f1(a))),out1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[halfadder_connection_outc_out1and2,c2]) ).
cnf(c211,plain,
( ~ one(outc(h2(f1(a))))
| one(out1(and2(h2(f1(a))))) ),
inference(resolution,[status(thm)],[c37,value_propagation_one1]) ).
cnf(value_propagation_one2,axiom,
( ~ connection(X20,X21)
| ~ one(X21)
| one(X20) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_one2) ).
cnf(fulladder_connection_outch1_in2or1,axiom,
( ~ fulladder(X61)
| connection(outc(h1(X61)),in2(or1(X61))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch1_in2or1) ).
cnf(c78,plain,
connection(outc(h1(f1(a))),in2(or1(f1(a)))),
inference(resolution,[status(thm)],[fulladder_connection_outch1_in2or1,c1]) ).
cnf(c129,plain,
( ~ one(in2(or1(f1(a))))
| one(outc(h1(f1(a)))) ),
inference(resolution,[status(thm)],[c78,value_propagation_one2]) ).
cnf(fulladder_connection_outch2_in1or1,axiom,
( ~ fulladder(X62)
| connection(outc(h2(X62)),in1(or1(X62))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outch2_in1or1) ).
cnf(c80,plain,
connection(outc(h2(f1(a))),in1(or1(f1(a)))),
inference(resolution,[status(thm)],[fulladder_connection_outch2_in1or1,c1]) ).
cnf(c133,plain,
( ~ one(in1(or1(f1(a))))
| one(outc(h2(f1(a)))) ),
inference(resolution,[status(thm)],[c80,value_propagation_one2]) ).
cnf(diagnosis_or1f1,negated_conjecture,
~ abnormal(or1(f1(a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_or1f1) ).
cnf(fulladder_or1,axiom,
( ~ fulladder(X18)
| logic_or(or1(X18)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_or1) ).
cnf(c3,plain,
logic_or(or1(f1(a))),
inference(resolution,[status(thm)],[c1,fulladder_or1]) ).
cnf(or_ok_or_abnormal,axiom,
( ~ logic_or(X24)
| or_ok(X24)
| abnormal(X24) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_ok_or_abnormal) ).
cnf(c13,plain,
( or_ok(or1(f1(a)))
| abnormal(or1(f1(a))) ),
inference(resolution,[status(thm)],[or_ok_or_abnormal,c3]) ).
cnf(c84,plain,
or_ok(or1(f1(a))),
inference(resolution,[status(thm)],[c13,diagnosis_or1f1]) ).
cnf(or_1_11,axiom,
( ~ or_ok(X40)
| ~ one(out1(X40))
| one(in1(X40))
| one(in2(X40)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',or_1_11) ).
cnf(outc_0,plain,
one(outc(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outc_0) ).
cnf(nbit_adder_connection_outc_outcf1,axiom,
( ~ nbit_adder1(X54)
| connection(outc(X54),outc(f1(X54))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_outc_outcf1) ).
cnf(c50,plain,
connection(outc(a),outc(f1(a))),
inference(resolution,[status(thm)],[nbit_adder_connection_outc_outcf1,a_isa_1bit_adder]) ).
cnf(c53,plain,
( ~ one(outc(a))
| one(outc(f1(a))) ),
inference(resolution,[status(thm)],[c50,value_propagation_one1]) ).
cnf(c76,plain,
one(outc(f1(a))),
inference(resolution,[status(thm)],[c53,outc_0]) ).
cnf(fulladder_connection_outc_out1or1,axiom,
( ~ fulladder(X51)
| connection(outc(X51),out1(or1(X51))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_outc_out1or1) ).
cnf(c42,plain,
connection(outc(f1(a)),out1(or1(f1(a)))),
inference(resolution,[status(thm)],[fulladder_connection_outc_out1or1,c1]) ).
cnf(c118,plain,
( ~ one(outc(f1(a)))
| one(out1(or1(f1(a)))) ),
inference(resolution,[status(thm)],[c42,value_propagation_one1]) ).
cnf(c163,plain,
one(out1(or1(f1(a)))),
inference(resolution,[status(thm)],[c118,c76]) ).
cnf(c166,plain,
( ~ or_ok(or1(f1(a)))
| one(in1(or1(f1(a))))
| one(in2(or1(f1(a)))) ),
inference(resolution,[status(thm)],[c163,or_1_11]) ).
cnf(c242,plain,
( one(in1(or1(f1(a))))
| one(in2(or1(f1(a)))) ),
inference(resolution,[status(thm)],[c166,c84]) ).
cnf(c243,plain,
( one(in2(or1(f1(a))))
| one(outc(h2(f1(a)))) ),
inference(resolution,[status(thm)],[c242,c133]) ).
cnf(c251,plain,
( one(outc(h2(f1(a))))
| one(outc(h1(f1(a)))) ),
inference(resolution,[status(thm)],[c243,c129]) ).
cnf(c265,plain,
( one(outc(h2(f1(a))))
| ~ zero(outc(h1(f1(a)))) ),
inference(resolution,[status(thm)],[c251,unique_value]) ).
cnf(value_propagation_zero2,axiom,
( ~ connection(X14,X15)
| ~ zero(X15)
| zero(X14) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero2) ).
cnf(fulladder_halfadder1,axiom,
( ~ fulladder(X16)
| halfadder(h1(X16)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_halfadder1) ).
cnf(c4,plain,
halfadder(h1(f1(a))),
inference(resolution,[status(thm)],[c1,fulladder_halfadder1]) ).
cnf(c36,plain,
connection(outc(h1(f1(a))),out1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[halfadder_connection_outc_out1and2,c4]) ).
cnf(c205,plain,
( ~ zero(out1(and2(h1(f1(a)))))
| zero(outc(h1(f1(a)))) ),
inference(resolution,[status(thm)],[c36,value_propagation_zero2]) ).
cnf(diagnosis_and2h1f1,negated_conjecture,
~ abnormal(and2(h1(f1(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h1f1) ).
cnf(and_ok_or_abnormal,axiom,
( ~ logic_and(X22)
| and_ok(X22)
| abnormal(X22) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_ok_or_abnormal) ).
cnf(halfadder_and2,axiom,
( ~ halfadder(X11)
| logic_and(and2(X11)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_and2) ).
cnf(c12,plain,
logic_and(and2(h1(f1(a)))),
inference(resolution,[status(thm)],[c4,halfadder_and2]) ).
cnf(c21,plain,
( and_ok(and2(h1(f1(a))))
| abnormal(and2(h1(f1(a)))) ),
inference(resolution,[status(thm)],[c12,and_ok_or_abnormal]) ).
cnf(c156,plain,
and_ok(and2(h1(f1(a)))),
inference(resolution,[status(thm)],[c21,diagnosis_and2h1f1]) ).
cnf(and_0x_0,axiom,
( ~ and_ok(X23)
| ~ zero(in1(X23))
| zero(out1(X23)) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',and_0x_0) ).
cnf(inb1_0,plain,
zero(inb1(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inb1_0) ).
cnf(value_propagation_zero1,axiom,
( ~ connection(X6,X7)
| ~ zero(X6)
| zero(X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-0.ax',value_propagation_zero1) ).
cnf(nbit_adder_connection_inb1_in2f1,axiom,
( ~ nbit_adder1(X57)
| connection(inb1(X57),in2(f1(X57))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_inb1_in2f1) ).
cnf(c62,plain,
connection(inb1(a),in2(f1(a))),
inference(resolution,[status(thm)],[nbit_adder_connection_inb1_in2f1,a_isa_1bit_adder]) ).
cnf(c66,plain,
( ~ zero(inb1(a))
| zero(in2(f1(a))) ),
inference(resolution,[status(thm)],[c62,value_propagation_zero1]) ).
cnf(c83,plain,
zero(in2(f1(a))),
inference(resolution,[status(thm)],[c66,inb1_0]) ).
cnf(fulladder_connection_in2_in1h1,axiom,
( ~ fulladder(X48)
| connection(in2(X48),in1(h1(X48))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in2_in1h1) ).
cnf(c39,plain,
connection(in2(f1(a)),in1(h1(f1(a)))),
inference(resolution,[status(thm)],[fulladder_connection_in2_in1h1,c1]) ).
cnf(c104,plain,
( ~ zero(in2(f1(a)))
| zero(in1(h1(f1(a)))) ),
inference(resolution,[status(thm)],[c39,value_propagation_zero1]) ).
cnf(c145,plain,
zero(in1(h1(f1(a)))),
inference(resolution,[status(thm)],[c104,c83]) ).
cnf(halfadder_connection_in1_in1and2,axiom,
( ~ halfadder(X43)
| connection(in1(X43),in1(and2(X43))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-1.ax',halfadder_connection_in1_in1and2) ).
cnf(c30,plain,
connection(in1(h1(f1(a))),in1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[halfadder_connection_in1_in1and2,c4]) ).
cnf(c184,plain,
( ~ zero(in1(h1(f1(a))))
| zero(in1(and2(h1(f1(a))))) ),
inference(resolution,[status(thm)],[c30,value_propagation_zero1]) ).
cnf(c273,plain,
zero(in1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[c184,c145]) ).
cnf(c275,plain,
( ~ and_ok(and2(h1(f1(a))))
| zero(out1(and2(h1(f1(a))))) ),
inference(resolution,[status(thm)],[c273,and_0x_0]) ).
cnf(c291,plain,
zero(out1(and2(h1(f1(a))))),
inference(resolution,[status(thm)],[c275,c156]) ).
cnf(c293,plain,
zero(outc(h1(f1(a)))),
inference(resolution,[status(thm)],[c291,c205]) ).
cnf(c299,plain,
one(outc(h2(f1(a)))),
inference(resolution,[status(thm)],[c293,c265]) ).
cnf(c309,plain,
one(out1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[c299,c211]) ).
cnf(c310,plain,
~ zero(out1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[c309,unique_value]) ).
cnf(diagnosis_and2h2f1,negated_conjecture,
~ abnormal(and2(h2(f1(a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',diagnosis_and2h2f1) ).
cnf(c8,plain,
logic_and(and2(h2(f1(a)))),
inference(resolution,[status(thm)],[c2,halfadder_and2]) ).
cnf(c17,plain,
( and_ok(and2(h2(f1(a))))
| abnormal(and2(h2(f1(a)))) ),
inference(resolution,[status(thm)],[c8,and_ok_or_abnormal]) ).
cnf(c126,plain,
and_ok(and2(h2(f1(a)))),
inference(resolution,[status(thm)],[c17,diagnosis_and2h2f1]) ).
cnf(ina1_0,plain,
zero(ina1(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ina1_0) ).
cnf(nbit_adder_connection_ina1_in1f1,axiom,
( ~ nbit_adder1(X55)
| connection(ina1(X55),in1(f1(X55))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nbit_adder_connection_ina1_in1f1) ).
cnf(c55,plain,
connection(ina1(a),in1(f1(a))),
inference(resolution,[status(thm)],[nbit_adder_connection_ina1_in1f1,a_isa_1bit_adder]) ).
cnf(c61,plain,
( ~ zero(ina1(a))
| zero(in1(f1(a))) ),
inference(resolution,[status(thm)],[c55,value_propagation_zero1]) ).
cnf(c79,plain,
zero(in1(f1(a))),
inference(resolution,[status(thm)],[c61,ina1_0]) ).
cnf(fulladder_connection_in1_in1h2,axiom,
( ~ fulladder(X47)
| connection(in1(X47),in1(h2(X47))) ),
file('/export/starexec/sandbox/benchmark/Axioms/HWV002-2.ax',fulladder_connection_in1_in1h2) ).
cnf(c38,plain,
connection(in1(f1(a)),in1(h2(f1(a)))),
inference(resolution,[status(thm)],[fulladder_connection_in1_in1h2,c1]) ).
cnf(c100,plain,
( ~ zero(in1(f1(a)))
| zero(in1(h2(f1(a)))) ),
inference(resolution,[status(thm)],[c38,value_propagation_zero1]) ).
cnf(c139,plain,
zero(in1(h2(f1(a)))),
inference(resolution,[status(thm)],[c100,c79]) ).
cnf(c31,plain,
connection(in1(h2(f1(a))),in1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[halfadder_connection_in1_in1and2,c2]) ).
cnf(c188,plain,
( ~ zero(in1(h2(f1(a))))
| zero(in1(and2(h2(f1(a))))) ),
inference(resolution,[status(thm)],[c31,value_propagation_zero1]) ).
cnf(c276,plain,
zero(in1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[c188,c139]) ).
cnf(c278,plain,
( ~ and_ok(and2(h2(f1(a))))
| zero(out1(and2(h2(f1(a))))) ),
inference(resolution,[status(thm)],[c276,and_0x_0]) ).
cnf(c315,plain,
zero(out1(and2(h2(f1(a))))),
inference(resolution,[status(thm)],[c278,c126]) ).
cnf(c317,plain,
$false,
inference(resolution,[status(thm)],[c315,c310]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.15 % Problem : HWV008-2.001 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.09/0.16 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.16/0.38 % Computer : n021.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Thu May 9 07:26:08 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.72/0.90 % Version: 1.5
% 0.72/0.90 % SZS status Unsatisfiable
% 0.72/0.90 % SZS output start CNFRefutation
% See solution above
% 0.72/0.90
% 0.72/0.90 % Initial clauses : 66
% 0.72/0.90 % Processed clauses : 289
% 0.72/0.90 % Factors computed : 0
% 0.72/0.90 % Resolvents computed: 321
% 0.72/0.90 % Tautologies deleted: 9
% 0.72/0.90 % Forward subsumed : 38
% 0.72/0.90 % Backward subsumed : 52
% 0.72/0.90 % -------- CPU Time ---------
% 0.72/0.90 % User time : 0.496 s
% 0.72/0.90 % System time : 0.021 s
% 0.72/0.90 % Total time : 0.517 s
%------------------------------------------------------------------------------