%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : HWV008-2.002 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:46:39 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-2.002 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n019.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:48:06 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.38 % Refutation found
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.38 fof(f1,axiom,(
% 0.08/0.38 (![P1,P2]: (( ~ connection(P1,P2)| ~ zero(P1)| zero(P2) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f3,axiom,(
% 0.08/0.38 (![P1,P2]: (( ~ connection(P1,P2)| ~ zero(P2)| zero(P1) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f5,axiom,(
% 0.08/0.38 (![P]: (( ~ zero(P)| ~ one(P) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f6,axiom,(
% 0.08/0.38 (![K]: (( ~ and_ok(K)| ~ zero(in1(K))| zero(out1(K)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f13,axiom,(
% 0.08/0.38 (![K]: (( ~ logic_and(K)| and_ok(K)| abnormal(K) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f16,axiom,(
% 0.08/0.38 (![K]: (( ~ or_ok(K)| ~ zero(in1(K))| ~ zero(in2(K))| zero(out1(K)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f21,axiom,(
% 0.08/0.38 (![K]: (( ~ logic_or(K)| or_ok(K)| abnormal(K) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f29,axiom,(
% 0.08/0.38 (![X]: (( ~ halfadder(X)| logic_and(and2(X)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f34,axiom,(
% 0.08/0.38 (![X]: (( ~ halfadder(X)| connection(in1(X),in1(and2(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f37,axiom,(
% 0.08/0.38 (![X]: (( ~ halfadder(X)| connection(outc(X),out1(and2(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f41,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| halfadder(h1(X)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f42,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| halfadder(h2(X)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f43,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| logic_or(or1(X)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f45,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| connection(outc(h1(X)),in2(or1(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f46,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| connection(outc(h2(X)),in1(or1(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f47,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| connection(in1(X),in1(h2(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f48,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| connection(in2(X),in1(h1(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f51,axiom,(
% 0.08/0.38 (![X]: (( ~ fulladder(X)| connection(outc(X),out1(or1(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f53,axiom,(
% 0.08/0.38 (![X]: (( ~ nbit_adder2(X)| fulladder(f2(X)) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f56,axiom,(
% 0.08/0.38 (![X]: (( ~ nbit_adder2(X)| connection(outc(X),outc(f2(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f59,axiom,(
% 0.08/0.38 (![X]: (( ~ nbit_adder2(X)| connection(ina2(X),in1(f2(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f60,axiom,(
% 0.08/0.38 (![X]: (( ~ nbit_adder2(X)| connection(inb2(X),in2(f2(X))) ) ))),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f63,hypothesis,(
% 0.08/0.38 nbit_adder2(a) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f65,hypothesis,(
% 0.08/0.38 zero(ina2(a)) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f67,hypothesis,(
% 0.08/0.38 zero(inb2(a)) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f71,hypothesis,(
% 0.08/0.38 one(outc(a)) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f72,negated_conjecture,(
% 0.08/0.38 ~ abnormal(or1(f2(a))) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f73,negated_conjecture,(
% 0.08/0.38 ~ abnormal(and2(h1(f2(a)))) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f74,negated_conjecture,(
% 0.08/0.38 ~ abnormal(and2(h2(f2(a)))) ),
% 0.08/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/0.38 fof(f75,plain,(
% 0.08/0.38 ![P2]: ((![P1]: (~connection(P1,P2)|~zero(P1)))|zero(P2))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f1])).
% 0.08/0.38 fof(f76,plain,(
% 0.08/0.38 ![X0,X1]: (~connection(X0,X1)|~zero(X0)|zero(X1))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f75])).
% 0.08/0.38 fof(f79,plain,(
% 0.08/0.38 ![P1]: ((![P2]: (~connection(P1,P2)|~zero(P2)))|zero(P1))),
% 0.08/0.38 inference(miniscoping,[status(thm)],[f3])).
% 0.08/0.38 fof(f80,plain,(
% 0.08/0.38 ![X0,X1]: (~connection(X0,X1)|~zero(X1)|zero(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f79])).
% 0.08/0.38 fof(f83,plain,(
% 0.08/0.38 ![X0]: (~zero(X0)|~one(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.08/0.38 fof(f84,plain,(
% 0.08/0.38 ![X0]: (~and_ok(X0)|~zero(in1(X0))|zero(out1(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.08/0.38 fof(f91,plain,(
% 0.08/0.38 ![X0]: (~logic_and(X0)|and_ok(X0)|abnormal(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.08/0.38 fof(f94,plain,(
% 0.08/0.38 ![X0]: (~or_ok(X0)|~zero(in1(X0))|~zero(in2(X0))|zero(out1(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f16])).
% 0.08/0.38 fof(f99,plain,(
% 0.08/0.38 ![X0]: (~logic_or(X0)|or_ok(X0)|abnormal(X0))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.08/0.38 fof(f107,plain,(
% 0.08/0.38 ![X0]: (~halfadder(X0)|logic_and(and2(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f29])).
% 0.08/0.38 fof(f112,plain,(
% 0.08/0.38 ![X0]: (~halfadder(X0)|connection(in1(X0),in1(and2(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f34])).
% 0.08/0.38 fof(f115,plain,(
% 0.08/0.38 ![X0]: (~halfadder(X0)|connection(outc(X0),out1(and2(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f37])).
% 0.08/0.38 fof(f119,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|halfadder(h1(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f41])).
% 0.08/0.38 fof(f120,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|halfadder(h2(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f42])).
% 0.08/0.38 fof(f121,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|logic_or(or1(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f43])).
% 0.08/0.38 fof(f123,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|connection(outc(h1(X0)),in2(or1(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f45])).
% 0.08/0.38 fof(f124,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|connection(outc(h2(X0)),in1(or1(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f46])).
% 0.08/0.38 fof(f125,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|connection(in1(X0),in1(h2(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f47])).
% 0.08/0.38 fof(f126,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|connection(in2(X0),in1(h1(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f48])).
% 0.08/0.38 fof(f129,plain,(
% 0.08/0.38 ![X0]: (~fulladder(X0)|connection(outc(X0),out1(or1(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f51])).
% 0.08/0.38 fof(f131,plain,(
% 0.08/0.38 ![X0]: (~nbit_adder2(X0)|fulladder(f2(X0)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f53])).
% 0.08/0.38 fof(f134,plain,(
% 0.08/0.38 ![X0]: (~nbit_adder2(X0)|connection(outc(X0),outc(f2(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f56])).
% 0.08/0.38 fof(f137,plain,(
% 0.08/0.38 ![X0]: (~nbit_adder2(X0)|connection(ina2(X0),in1(f2(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f59])).
% 0.08/0.38 fof(f138,plain,(
% 0.08/0.38 ![X0]: (~nbit_adder2(X0)|connection(inb2(X0),in2(f2(X0))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f60])).
% 0.08/0.38 fof(f141,plain,(
% 0.08/0.38 nbit_adder2(a)),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f63])).
% 0.08/0.38 fof(f143,plain,(
% 0.08/0.38 zero(ina2(a))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f65])).
% 0.08/0.38 fof(f145,plain,(
% 0.08/0.38 zero(inb2(a))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f67])).
% 0.08/0.38 fof(f149,plain,(
% 0.08/0.38 one(outc(a))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f71])).
% 0.08/0.38 fof(f150,plain,(
% 0.08/0.38 ~abnormal(or1(f2(a)))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f72])).
% 0.08/0.38 fof(f151,plain,(
% 0.08/0.38 ~abnormal(and2(h1(f2(a))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f73])).
% 0.08/0.38 fof(f152,plain,(
% 0.08/0.38 ~abnormal(and2(h2(f2(a))))),
% 0.08/0.38 inference(cnf_transformation,[status(thm)],[f74])).
% 0.08/0.38 fof(f155,plain,(
% 0.08/0.38 ![X0]: (~zero(in1(X0))|zero(in1(and2(X0)))|~halfadder(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f76,f112])).
% 0.08/0.38 fof(f161,plain,(
% 0.08/0.38 ![X0]: (~halfadder(X0)|~zero(out1(and2(X0)))|zero(outc(X0)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f115,f80])).
% 0.08/0.38 fof(f163,plain,(
% 0.08/0.38 ![X0]: (connection(in1(f2(X0)),in1(h2(f2(X0))))|~nbit_adder2(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f125,f131])).
% 0.08/0.38 fof(f164,plain,(
% 0.08/0.38 ![X0]: (connection(in2(f2(X0)),in1(h1(f2(X0))))|~nbit_adder2(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f126,f131])).
% 0.08/0.38 fof(f165,plain,(
% 0.08/0.38 ![X0]: (connection(outc(h1(f2(X0))),in2(or1(f2(X0))))|~nbit_adder2(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f123,f131])).
% 0.08/0.38 fof(f166,plain,(
% 0.08/0.38 ![X0]: (connection(outc(h2(f2(X0))),in1(or1(f2(X0))))|~nbit_adder2(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f124,f131])).
% 0.08/0.38 fof(f171,plain,(
% 0.08/0.38 ~zero(outc(a))),
% 0.08/0.38 inference(resolution,[status(thm)],[f149,f83])).
% 0.08/0.38 fof(f179,plain,(
% 0.08/0.38 ![X0]: (~halfadder(X0)|zero(outc(X0))|~and_ok(and2(X0))|~zero(in1(and2(X0))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f161,f84])).
% 0.08/0.38 fof(f200,plain,(
% 0.08/0.38 connection(in1(f2(a)),in1(h2(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f163,f141])).
% 0.08/0.38 fof(f201,plain,(
% 0.08/0.38 connection(in2(f2(a)),in1(h1(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f164,f141])).
% 0.08/0.38 fof(f202,plain,(
% 0.08/0.38 ![X0]: (and_ok(and2(X0))|abnormal(and2(X0))|~halfadder(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f91,f107])).
% 0.08/0.38 fof(f204,plain,(
% 0.08/0.38 ![X0]: (or_ok(or1(X0))|abnormal(or1(X0))|~fulladder(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f99,f121])).
% 0.08/0.38 fof(f232,plain,(
% 0.08/0.38 ~zero(in1(f2(a)))|zero(in1(h2(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f200,f76])).
% 0.08/0.38 fof(f233,definition,(
% 0.08/0.38 sQ9_spl <=> (zero(in1(h2(f2(a)))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f236,definition,(
% 0.08/0.38 sQ10_spl <=> (zero(in1(f2(a))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f240,plain,(
% 0.08/0.38 ~sQ10_spl|sQ9_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f232,f236,f233])).
% 0.08/0.38 fof(f241,plain,(
% 0.08/0.38 connection(outc(h1(f2(a))),in2(or1(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f165,f141])).
% 0.08/0.38 fof(f243,plain,(
% 0.08/0.38 ~zero(in2(f2(a)))|zero(in1(h1(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f201,f76])).
% 0.08/0.38 fof(f244,definition,(
% 0.08/0.38 sQ11_spl <=> (zero(in1(h1(f2(a)))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f247,definition,(
% 0.08/0.38 sQ12_spl <=> (zero(in2(f2(a))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f251,plain,(
% 0.08/0.38 ~sQ12_spl|sQ11_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f243,f247,f244])).
% 0.08/0.38 fof(f262,plain,(
% 0.08/0.38 connection(outc(h2(f2(a))),in1(or1(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f166,f141])).
% 0.08/0.38 fof(f281,plain,(
% 0.08/0.38 ~zero(outc(h1(f2(a))))|zero(in2(or1(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f241,f76])).
% 0.08/0.38 fof(f282,definition,(
% 0.08/0.38 sQ18_spl <=> (zero(in2(or1(f2(a)))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f285,definition,(
% 0.08/0.38 sQ19_spl <=> (zero(outc(h1(f2(a)))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f289,plain,(
% 0.08/0.38 ~sQ19_spl|sQ18_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f281,f285,f282])).
% 0.08/0.38 fof(f296,plain,(
% 0.08/0.38 ~zero(outc(h2(f2(a))))|zero(in1(or1(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f262,f76])).
% 0.08/0.38 fof(f297,definition,(
% 0.08/0.38 sQ21_spl <=> (zero(in1(or1(f2(a)))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f300,definition,(
% 0.08/0.38 sQ22_spl <=> (zero(outc(h2(f2(a)))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f304,plain,(
% 0.08/0.38 ~sQ22_spl|sQ21_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f296,f300,f297])).
% 0.08/0.38 fof(f316,plain,(
% 0.08/0.38 ![X0]: (connection(outc(f2(X0)),out1(or1(f2(X0))))|~nbit_adder2(X0))),
% 0.08/0.38 inference(resolution,[status(thm)],[f129,f131])).
% 0.08/0.38 fof(f327,plain,(
% 0.08/0.38 connection(outc(f2(a)),out1(or1(f2(a))))),
% 0.08/0.38 inference(resolution,[status(thm)],[f316,f141])).
% 0.08/0.38 fof(f333,plain,(
% 0.08/0.38 ~zero(out1(or1(f2(a))))|zero(outc(f2(a)))),
% 0.08/0.38 inference(resolution,[status(thm)],[f327,f80])).
% 0.08/0.38 fof(f335,definition,(
% 0.08/0.38 sQ26_spl <=> (zero(out1(or1(f2(a)))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f338,definition,(
% 0.08/0.38 sQ27_spl <=> (zero(outc(f2(a))))),
% 0.08/0.38 introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition])).
% 0.08/0.38 fof(f341,plain,(
% 0.08/0.38 ~sQ26_spl|sQ27_spl),
% 0.08/0.38 inference(split_clause,[status(thm)],[f333,f335,f338])).
% 0.08/0.39 fof(f378,plain,(
% 0.08/0.39 connection(outc(a),outc(f2(a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f134,f141])).
% 0.08/0.39 fof(f380,plain,(
% 0.08/0.39 ~zero(outc(f2(a)))|zero(outc(a))),
% 0.08/0.39 inference(resolution,[status(thm)],[f378,f80])).
% 0.08/0.39 fof(f382,definition,(
% 0.08/0.39 sQ33_spl <=> (zero(outc(a)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f383,plain,(
% 0.08/0.39 zero(outc(a))|~sQ33_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f382])).
% 0.08/0.39 fof(f385,plain,(
% 0.08/0.39 ~sQ27_spl|sQ33_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f380,f338,f382])).
% 0.08/0.39 fof(f408,definition,(
% 0.08/0.39 sQ35_spl <=> (or_ok(or1(f2(a))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f409,plain,(
% 0.08/0.39 or_ok(or1(f2(a)))|~sQ35_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f408])).
% 0.08/0.39 fof(f506,plain,(
% 0.08/0.39 connection(ina2(a),in1(f2(a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f137,f141])).
% 0.08/0.39 fof(f508,plain,(
% 0.08/0.39 ~zero(ina2(a))|zero(in1(f2(a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f506,f76])).
% 0.08/0.39 fof(f509,definition,(
% 0.08/0.39 sQ49_spl <=> (zero(ina2(a)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f511,plain,(
% 0.08/0.39 ~zero(ina2(a))|sQ49_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f509])).
% 0.08/0.39 fof(f513,plain,(
% 0.08/0.39 ~sQ49_spl|sQ10_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f508,f509,f236])).
% 0.08/0.39 fof(f514,plain,(
% 0.08/0.39 connection(inb2(a),in2(f2(a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f138,f141])).
% 0.08/0.39 fof(f517,plain,(
% 0.08/0.39 ![X0]: (and_ok(and2(h2(X0)))|abnormal(and2(h2(X0)))|~fulladder(X0))),
% 0.08/0.39 inference(resolution,[status(thm)],[f202,f120])).
% 0.08/0.39 fof(f518,plain,(
% 0.08/0.39 ![X0]: (and_ok(and2(h1(X0)))|abnormal(and2(h1(X0)))|~fulladder(X0))),
% 0.08/0.39 inference(resolution,[status(thm)],[f202,f119])).
% 0.08/0.39 fof(f520,plain,(
% 0.08/0.39 ~zero(inb2(a))|zero(in2(f2(a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f514,f76])).
% 0.08/0.39 fof(f521,definition,(
% 0.08/0.39 sQ50_spl <=> (zero(inb2(a)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f523,plain,(
% 0.08/0.39 ~zero(inb2(a))|sQ50_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f521])).
% 0.08/0.39 fof(f525,plain,(
% 0.08/0.39 ~sQ50_spl|sQ12_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f520,f521,f247])).
% 0.08/0.39 fof(f589,plain,(
% 0.08/0.39 and_ok(and2(h2(f2(a))))|~fulladder(f2(a))),
% 0.08/0.39 inference(resolution,[status(thm)],[f517,f152])).
% 0.08/0.39 fof(f591,definition,(
% 0.08/0.39 sQ62_spl <=> (and_ok(and2(h2(f2(a)))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f592,plain,(
% 0.08/0.39 and_ok(and2(h2(f2(a))))|~sQ62_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f591])).
% 0.08/0.39 fof(f594,definition,(
% 0.08/0.39 sQ63_spl <=> (fulladder(f2(a)))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f596,plain,(
% 0.08/0.39 ~fulladder(f2(a))|sQ63_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f594])).
% 0.08/0.39 fof(f597,plain,(
% 0.08/0.39 sQ62_spl|~sQ63_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f589,f591,f594])).
% 0.08/0.39 fof(f598,plain,(
% 0.08/0.39 and_ok(and2(h1(f2(a))))|~fulladder(f2(a))),
% 0.08/0.39 inference(resolution,[status(thm)],[f518,f151])).
% 0.08/0.39 fof(f600,definition,(
% 0.08/0.39 sQ64_spl <=> (and_ok(and2(h1(f2(a)))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f601,plain,(
% 0.08/0.39 and_ok(and2(h1(f2(a))))|~sQ64_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f600])).
% 0.08/0.39 fof(f603,plain,(
% 0.08/0.39 sQ64_spl|~sQ63_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f598,f600,f594])).
% 0.08/0.39 fof(f604,plain,(
% 0.08/0.39 ~nbit_adder2(a)|sQ63_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f596,f131])).
% 0.08/0.39 fof(f605,plain,(
% 0.08/0.39 $false|sQ63_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f604,f141])).
% 0.08/0.39 fof(f606,plain,(
% 0.08/0.39 sQ63_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f605])).
% 0.08/0.39 fof(f619,plain,(
% 0.08/0.39 ~halfadder(h2(f2(a)))|zero(outc(h2(f2(a))))|~zero(in1(and2(h2(f2(a)))))|~sQ62_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f592,f179])).
% 0.08/0.39 fof(f622,definition,(
% 0.08/0.39 sQ65_spl <=> (halfadder(h2(f2(a))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f624,plain,(
% 0.08/0.39 ~halfadder(h2(f2(a)))|sQ65_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f622])).
% 0.08/0.39 fof(f625,definition,(
% 0.08/0.39 sQ66_spl <=> (zero(in1(and2(h2(f2(a))))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f627,plain,(
% 0.08/0.39 ~zero(in1(and2(h2(f2(a)))))|sQ66_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f625])).
% 0.08/0.39 fof(f628,plain,(
% 0.08/0.39 ~sQ65_spl|sQ22_spl|~sQ66_spl|~sQ62_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f619,f622,f300,f625,f591])).
% 0.08/0.39 fof(f637,plain,(
% 0.08/0.39 ~fulladder(f2(a))|sQ65_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f624,f120])).
% 0.08/0.39 fof(f638,plain,(
% 0.08/0.39 ~sQ63_spl|sQ65_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f637,f594,f622])).
% 0.08/0.39 fof(f649,plain,(
% 0.08/0.39 ![X0]: (or_ok(or1(f2(X0)))|abnormal(or1(f2(X0)))|~nbit_adder2(X0))),
% 0.08/0.39 inference(resolution,[status(thm)],[f204,f131])).
% 0.08/0.39 fof(f657,definition,(
% 0.08/0.39 sQ72_spl <=> (abnormal(or1(f2(a))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f658,plain,(
% 0.08/0.39 abnormal(or1(f2(a)))|~sQ72_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f657])).
% 0.08/0.39 fof(f661,plain,(
% 0.08/0.39 $false|~sQ72_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f658,f150])).
% 0.08/0.39 fof(f662,plain,(
% 0.08/0.39 ~sQ72_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f661])).
% 0.08/0.39 fof(f674,plain,(
% 0.08/0.39 ~halfadder(h1(f2(a)))|zero(outc(h1(f2(a))))|~zero(in1(and2(h1(f2(a)))))|~sQ64_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f601,f179])).
% 0.08/0.39 fof(f677,definition,(
% 0.08/0.39 sQ75_spl <=> (halfadder(h1(f2(a))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f679,plain,(
% 0.08/0.39 ~halfadder(h1(f2(a)))|sQ75_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f677])).
% 0.08/0.39 fof(f680,definition,(
% 0.08/0.39 sQ76_spl <=> (zero(in1(and2(h1(f2(a))))))),
% 0.08/0.39 introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition])).
% 0.08/0.39 fof(f682,plain,(
% 0.08/0.39 ~zero(in1(and2(h1(f2(a)))))|sQ76_spl),
% 0.08/0.39 inference(component_clause,[status(thm)],[f680])).
% 0.08/0.39 fof(f683,plain,(
% 0.08/0.39 ~sQ75_spl|sQ19_spl|~sQ76_spl|~sQ64_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f674,f677,f285,f680,f600])).
% 0.08/0.39 fof(f692,plain,(
% 0.08/0.39 ~fulladder(f2(a))|sQ75_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f679,f119])).
% 0.08/0.39 fof(f693,plain,(
% 0.08/0.39 ~sQ63_spl|sQ75_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f692,f594,f677])).
% 0.08/0.39 fof(f722,plain,(
% 0.08/0.39 ~zero(in1(or1(f2(a))))|~zero(in2(or1(f2(a))))|zero(out1(or1(f2(a))))|~sQ35_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f409,f94])).
% 0.08/0.39 fof(f726,plain,(
% 0.08/0.39 ~sQ21_spl|~sQ18_spl|sQ26_spl|~sQ35_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f722,f297,f282,f335,f408])).
% 0.08/0.39 fof(f729,plain,(
% 0.08/0.39 $false|~sQ33_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f383,f171])).
% 0.08/0.39 fof(f730,plain,(
% 0.08/0.39 ~sQ33_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f729])).
% 0.08/0.39 fof(f733,plain,(
% 0.08/0.39 or_ok(or1(f2(a)))|abnormal(or1(f2(a)))),
% 0.08/0.39 inference(resolution,[status(thm)],[f649,f141])).
% 0.08/0.39 fof(f734,plain,(
% 0.08/0.39 sQ35_spl|sQ72_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f733,f408,f657])).
% 0.08/0.39 fof(f854,plain,(
% 0.08/0.39 $false|sQ50_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f523,f145])).
% 0.08/0.39 fof(f855,plain,(
% 0.08/0.39 sQ50_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f854])).
% 0.08/0.39 fof(f876,plain,(
% 0.08/0.39 ~zero(in1(h2(f2(a))))|~halfadder(h2(f2(a)))|sQ66_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f627,f155])).
% 0.08/0.39 fof(f877,plain,(
% 0.08/0.39 ~sQ9_spl|~sQ65_spl|sQ66_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f876,f233,f622,f625])).
% 0.08/0.39 fof(f878,plain,(
% 0.08/0.39 $false|sQ49_spl),
% 0.08/0.39 inference(forward_subsumption_resolution,[status(thm)],[f511,f143])).
% 0.08/0.39 fof(f879,plain,(
% 0.08/0.39 sQ49_spl),
% 0.08/0.39 inference(contradiction_clause,[status(thm)],[f878])).
% 0.08/0.39 fof(f958,plain,(
% 0.08/0.39 ~zero(in1(h1(f2(a))))|~halfadder(h1(f2(a)))|sQ76_spl),
% 0.08/0.39 inference(resolution,[status(thm)],[f682,f155])).
% 0.08/0.39 fof(f959,plain,(
% 0.08/0.39 ~sQ11_spl|~sQ75_spl|sQ76_spl),
% 0.08/0.39 inference(split_clause,[status(thm)],[f958,f244,f677,f680])).
% 0.08/0.39 fof(f960,plain,(
% 0.08/0.39 $false),
% 0.08/0.39 inference(sat_refutation,[status(thm)],[f240,f251,f289,f304,f341,f385,f513,f525,f597,f603,f606,f628,f638,f662,f683,f693,f726,f730,f734,f855,f877,f879,f959])).
% 0.08/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.40 % Elapsed time: 0.037888 seconds
% 0.08/0.40 % CPU time: 0.135779 seconds
% 0.08/0.40 % Total memory used: 8.226 MB
% 0.08/0.40 % Net memory used: 8.191 MB
%------------------------------------------------------------------------------