%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 12:45:54 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 84
% Syntax : Number of formulae : 259 ( 16 unt; 36 def)
% Number of atoms : 605 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 653 ( 307 ~; 310 |; 0 &)
% ( 36 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 49 ( 48 usr; 37 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 1 con; 0-1 aty)
% Number of variables : 113 ( 113 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P1,P2] :
( zero(P2)
| ~ zero(P1)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P1,P2] :
( one(P2)
| ~ one(P1)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P1,P2] :
( zero(P1)
| ~ zero(P2)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [P1,P2] :
( one(P1)
| ~ one(P2)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [P] :
( ~ one(P)
| ~ zero(P) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [K] :
( zero(out1(K))
| ~ zero(in2(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [K] :
( one(out1(K))
| ~ one(in2(K))
| ~ one(in1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [K] :
( one(in1(K))
| ~ one(out1(K))
| ~ and_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [K] :
( abnormal(K)
| and_ok(K)
| ~ logic_and(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [K] :
( zero(out1(K))
| ~ zero(in2(K))
| ~ zero(in1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
! [K] :
( zero(in2(K))
| ~ zero(out1(K))
| ~ or_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [K] :
( abnormal(K)
| or_ok(K)
| ~ logic_or(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [K] :
( zero(out1(K))
| ~ one(in1(K))
| ~ not_ok(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
! [K] :
( abnormal(K)
| not_ok(K)
| ~ logic_not(K) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( logic_and(and1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X] :
( logic_and(and2(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( logic_not(not1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( logic_or(or1(X))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] :
( connection(in1(X),in1(or1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X] :
( connection(in2(X),in2(or1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] :
( connection(in1(X),in1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] :
( connection(in2(X),in2(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] :
( connection(outs(X),out1(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] :
( connection(outc(X),out1(and2(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X] :
( connection(out1(or1(X)),in1(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] :
( connection(out1(and2(X)),in1(not1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] :
( connection(out1(not1(X)),in2(and1(X)))
| ~ halfadder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] :
( halfadder(h1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] :
( halfadder(h2(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X] :
( logic_or(or1(X))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,axiom,
! [X] :
( connection(outs(h1(X)),in2(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] :
( connection(outc(h1(X)),in2(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X] :
( connection(in1(X),in1(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X] :
( connection(in2(X),in1(h1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [X] :
( connection(inc(X),in2(h1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X] :
( connection(outs(X),outs(h2(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [X] :
( connection(outc(X),out1(or1(X)))
| ~ fulladder(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
fulladder(f),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
zero(in1(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,hypothesis,
one(in2(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
one(inc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f56,hypothesis,
one(outs(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
zero(outc(f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ abnormal(and2(h1(f))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
( ~ abnormal(and1(h1(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
( ~ abnormal(not1(h1(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,negated_conjecture,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f62,negated_conjecture,
( ~ abnormal(or1(h2(f)))
| ~ abnormal(or1(f)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,plain,
! [P2] :
( zero(P2)
| ! [P1] :
( ~ zero(P1)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f64,plain,
! [X0,X1] :
( zero(X1)
| ~ zero(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [P2] :
( one(P2)
| ! [P1] :
( ~ one(P1)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f66,plain,
! [X0,X1] :
( one(X1)
| ~ one(X0)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [P1] :
( zero(P1)
| ! [P2] :
( ~ zero(P2)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f68,plain,
! [X0,X1] :
( zero(X0)
| ~ zero(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f69,plain,
! [P1] :
( one(P1)
| ! [P2] :
( ~ one(P2)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f4]) ).
fof(f70,plain,
! [X0,X1] :
( one(X0)
| ~ one(X1)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [X0] :
( ~ one(X0)
| ~ zero(X0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f73,plain,
! [X0] :
( zero(out1(X0))
| ~ zero(in2(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f74,plain,
! [X0] :
( one(out1(X0))
| ~ one(in2(X0))
| ~ one(in1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f76,plain,
! [X0] :
( one(in1(X0))
| ~ one(out1(X0))
| ~ and_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f79,plain,
! [X0] :
( abnormal(X0)
| and_ok(X0)
| ~ logic_and(X0) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f82,plain,
! [X0] :
( zero(out1(X0))
| ~ zero(in2(X0))
| ~ zero(in1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f85,plain,
! [X0] :
( zero(in2(X0))
| ~ zero(out1(X0))
| ~ or_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f87,plain,
! [X0] :
( abnormal(X0)
| or_ok(X0)
| ~ logic_or(X0) ),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f89,plain,
! [X0] :
( zero(out1(X0))
| ~ one(in1(X0))
| ~ not_ok(X0) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f93,plain,
! [X0] :
( abnormal(X0)
| not_ok(X0)
| ~ logic_not(X0) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f94,plain,
! [X0] :
( logic_and(and1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f95,plain,
! [X0] :
( logic_and(and2(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f96,plain,
! [X0] :
( logic_not(not1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f97,plain,
! [X0] :
( logic_or(or1(X0))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f98,plain,
! [X0] :
( connection(in1(X0),in1(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f99,plain,
! [X0] :
( connection(in2(X0),in2(or1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f100,plain,
! [X0] :
( connection(in1(X0),in1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f101,plain,
! [X0] :
( connection(in2(X0),in2(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f102,plain,
! [X0] :
( connection(outs(X0),out1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f103,plain,
! [X0] :
( connection(outc(X0),out1(and2(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f104,plain,
! [X0] :
( connection(out1(or1(X0)),in1(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f105,plain,
! [X0] :
( connection(out1(and2(X0)),in1(not1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f106,plain,
! [X0] :
( connection(out1(not1(X0)),in2(and1(X0)))
| ~ halfadder(X0) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f107,plain,
! [X0] :
( halfadder(h1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f108,plain,
! [X0] :
( halfadder(h2(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f109,plain,
! [X0] :
( logic_or(or1(X0))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f110,plain,
! [X0] :
( connection(outs(h1(X0)),in2(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f111,plain,
! [X0] :
( connection(outc(h1(X0)),in2(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f113,plain,
! [X0] :
( connection(in1(X0),in1(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f114,plain,
! [X0] :
( connection(in2(X0),in1(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f115,plain,
! [X0] :
( connection(inc(X0),in2(h1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f116,plain,
! [X0] :
( connection(outs(X0),outs(h2(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f117,plain,
! [X0] :
( connection(outc(X0),out1(or1(X0)))
| ~ fulladder(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f118,plain,
fulladder(f),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f119,plain,
zero(in1(f)),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f120,plain,
one(in2(f)),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f121,plain,
one(inc(f)),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f122,plain,
one(outs(f)),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f123,plain,
zero(outc(f)),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f124,plain,
~ abnormal(and2(h1(f))),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f125,plain,
( ~ abnormal(and1(h1(f)))
| ~ abnormal(or1(f)) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f126,plain,
( ~ abnormal(not1(h1(f)))
| ~ abnormal(or1(f)) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f127,plain,
( ~ abnormal(and1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f128,plain,
( ~ abnormal(or1(h2(f)))
| ~ abnormal(or1(f)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f129,definition,
( sQ0_spl
<=> abnormal(or1(f)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f132,definition,
( sQ1_spl
<=> abnormal(and1(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ1_spl
| ~ abnormal(and1(h1(f))) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f135,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f125,f129,f132]) ).
fof(f136,definition,
( sQ2_spl
<=> abnormal(not1(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f139,plain,
( ~ sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f126,f129,f136]) ).
fof(f140,definition,
( sQ3_spl
<=> abnormal(and1(h2(f))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f142,plain,
( sQ3_spl
| ~ abnormal(and1(h2(f))) ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( ~ sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f127,f129,f140]) ).
fof(f144,definition,
( sQ4_spl
<=> abnormal(or1(h2(f))) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f147,plain,
( ~ sQ4_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f128,f129,f144]) ).
fof(f151,plain,
! [X0] :
( zero(X0)
| ~ connection(outc(f),X0) ),
inference(resolution,[status(thm)],[f64,f123]) ).
fof(f152,plain,
! [X0] :
( zero(X0)
| ~ connection(in1(f),X0) ),
inference(resolution,[status(thm)],[f64,f119]) ).
fof(f153,plain,
! [X0] :
( one(X0)
| ~ connection(outs(f),X0) ),
inference(resolution,[status(thm)],[f66,f122]) ).
fof(f154,plain,
! [X0] :
( one(X0)
| ~ connection(inc(f),X0) ),
inference(resolution,[status(thm)],[f66,f121]) ).
fof(f155,plain,
! [X0] :
( one(X0)
| ~ connection(in2(f),X0) ),
inference(resolution,[status(thm)],[f66,f120]) ).
fof(f177,definition,
( sQ9_spl
<=> one(in2(or1(f))) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f178,plain,
( ~ sQ9_spl
| one(in2(or1(f))) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f181,plain,
( zero(in1(h2(f)))
| ~ fulladder(f) ),
inference(resolution,[status(thm)],[f113,f152]) ).
fof(f182,definition,
( sQ10_spl
<=> fulladder(f) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ10_spl
| ~ fulladder(f) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f185,definition,
( sQ11_spl
<=> zero(in1(h2(f))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f186,plain,
( ~ sQ11_spl
| zero(in1(h2(f))) ),
inference(component_clause,[status(thm)],[f185]) ).
fof(f188,plain,
( sQ11_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f181,f182,f185]) ).
fof(f189,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f118]) ).
fof(f190,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f192,plain,
! [X0] :
( ~ sQ11_spl
| zero(X0)
| ~ connection(in1(h2(f)),X0) ),
inference(resolution,[status(thm)],[f186,f64]) ).
fof(f200,plain,
( ~ sQ11_spl
| ~ halfadder(h2(f))
| zero(in1(or1(h2(f)))) ),
inference(resolution,[status(thm)],[f192,f98]) ).
fof(f211,definition,
( sQ16_spl
<=> halfadder(h2(f)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f213,plain,
( sQ16_spl
| ~ halfadder(h2(f)) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f215,definition,
( sQ17_spl
<=> zero(in1(or1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f218,plain,
( ~ sQ11_spl
| ~ sQ16_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f200,f215,f211,f185]) ).
fof(f219,plain,
( sQ16_spl
| ~ fulladder(f) ),
inference(resolution,[status(thm)],[f213,f108]) ).
fof(f220,plain,
( sQ16_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f219,f182,f211]) ).
fof(f221,plain,
( one(in1(h1(f)))
| ~ fulladder(f) ),
inference(resolution,[status(thm)],[f114,f155]) ).
fof(f222,definition,
( sQ18_spl
<=> one(in1(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f223,plain,
( ~ sQ18_spl
| one(in1(h1(f))) ),
inference(component_clause,[status(thm)],[f222]) ).
fof(f225,plain,
( sQ18_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f221,f182,f222]) ).
fof(f226,plain,
! [X0] :
( ~ sQ18_spl
| one(X0)
| ~ connection(in1(h1(f)),X0) ),
inference(resolution,[status(thm)],[f223,f66]) ).
fof(f239,plain,
( ~ sQ18_spl
| ~ halfadder(h1(f))
| one(in1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[f226,f100]) ).
fof(f248,definition,
( sQ21_spl
<=> one(in1(and2(h1(f)))) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f251,definition,
( sQ22_spl
<=> halfadder(h1(f)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f253,plain,
( sQ22_spl
| ~ halfadder(h1(f)) ),
inference(component_clause,[status(thm)],[f251]) ).
fof(f254,plain,
( ~ sQ18_spl
| ~ sQ22_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f239,f248,f251,f222]) ).
fof(f259,plain,
( sQ22_spl
| ~ fulladder(f) ),
inference(resolution,[status(thm)],[f253,f107]) ).
fof(f260,plain,
( sQ22_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f259,f182,f251]) ).
fof(f277,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(and2(X0))
| and_ok(and2(X0)) ),
inference(resolution,[status(thm)],[f79,f95]) ).
fof(f278,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(and1(X0))
| and_ok(and1(X0)) ),
inference(resolution,[status(thm)],[f79,f94]) ).
fof(f279,plain,
! [X0] :
( ~ fulladder(X0)
| abnormal(or1(X0))
| or_ok(or1(X0)) ),
inference(resolution,[status(thm)],[f87,f109]) ).
fof(f280,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(or1(X0))
| or_ok(or1(X0)) ),
inference(resolution,[status(thm)],[f87,f97]) ).
fof(f281,plain,
! [X0] :
( ~ halfadder(X0)
| abnormal(not1(X0))
| not_ok(not1(X0)) ),
inference(resolution,[status(thm)],[f93,f96]) ).
fof(f398,plain,
( one(in2(h1(f)))
| ~ fulladder(f) ),
inference(resolution,[status(thm)],[f115,f154]) ).
fof(f399,definition,
( sQ47_spl
<=> one(in2(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( ~ sQ47_spl
| one(in2(h1(f))) ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( sQ47_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f398,f182,f399]) ).
fof(f404,plain,
! [X0] :
( ~ sQ47_spl
| one(X0)
| ~ connection(in2(h1(f)),X0) ),
inference(resolution,[status(thm)],[f400,f66]) ).
fof(f412,plain,
( ~ sQ47_spl
| ~ halfadder(h1(f))
| one(in2(and2(h1(f)))) ),
inference(resolution,[status(thm)],[f404,f101]) ).
fof(f418,definition,
( sQ50_spl
<=> one(in2(and2(h1(f)))) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( ~ sQ47_spl
| ~ sQ22_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f412,f418,f251,f399]) ).
fof(f474,plain,
( one(outs(h2(f)))
| ~ fulladder(f) ),
inference(resolution,[status(thm)],[f116,f153]) ).
fof(f475,definition,
( sQ59_spl
<=> one(outs(h2(f))) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( ~ sQ59_spl
| one(outs(h2(f))) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( sQ59_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f474,f182,f475]) ).
fof(f480,plain,
! [X0] :
( ~ sQ59_spl
| one(X0)
| ~ connection(outs(h2(f)),X0) ),
inference(resolution,[status(thm)],[f476,f66]) ).
fof(f488,plain,
( ~ sQ59_spl
| ~ halfadder(h2(f))
| one(out1(and1(h2(f)))) ),
inference(resolution,[status(thm)],[f480,f102]) ).
fof(f493,definition,
( sQ62_spl
<=> one(out1(and1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ62_spl
| one(out1(and1(h2(f)))) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,plain,
( ~ sQ59_spl
| ~ sQ16_spl
| sQ62_spl ),
inference(split_clause,[status(thm)],[f488,f493,f211,f475]) ).
fof(f500,plain,
( ~ sQ62_spl
| one(in1(and1(h2(f))))
| ~ and_ok(and1(h2(f))) ),
inference(resolution,[status(thm)],[f494,f76]) ).
fof(f514,definition,
( sQ66_spl
<=> one(in1(and1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f515,plain,
( ~ sQ66_spl
| one(in1(and1(h2(f)))) ),
inference(component_clause,[status(thm)],[f514]) ).
fof(f521,definition,
( sQ68_spl
<=> and_ok(and1(h2(f))) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f525,plain,
( ~ sQ62_spl
| sQ66_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f500,f521,f514,f493]) ).
fof(f526,plain,
! [X0] :
( ~ sQ66_spl
| one(X0)
| ~ connection(X0,in1(and1(h2(f)))) ),
inference(resolution,[status(thm)],[f515,f70]) ).
fof(f529,plain,
( zero(out1(or1(f)))
| ~ fulladder(f) ),
inference(resolution,[status(thm)],[f117,f151]) ).
fof(f530,definition,
( sQ69_spl
<=> zero(out1(or1(f))) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f531,plain,
( ~ sQ69_spl
| zero(out1(or1(f))) ),
inference(component_clause,[status(thm)],[f530]) ).
fof(f533,plain,
( sQ69_spl
| ~ sQ10_spl ),
inference(split_clause,[status(thm)],[f529,f182,f530]) ).
fof(f534,plain,
( ~ halfadder(h1(f))
| and_ok(and2(h1(f))) ),
inference(resolution,[status(thm)],[f277,f124]) ).
fof(f536,definition,
( sQ70_spl
<=> and_ok(and2(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f537,plain,
( ~ sQ70_spl
| and_ok(and2(h1(f))) ),
inference(component_clause,[status(thm)],[f536]) ).
fof(f539,plain,
( ~ sQ22_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f534,f536,f251]) ).
fof(f541,plain,
( ~ sQ70_spl
| one(out1(and2(h1(f))))
| ~ one(in2(and2(h1(f))))
| ~ one(in1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[f537,f74]) ).
fof(f543,definition,
( sQ71_spl
<=> one(out1(and2(h1(f)))) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( ~ sQ71_spl
| one(out1(and2(h1(f)))) ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( ~ sQ70_spl
| sQ71_spl
| ~ sQ50_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f541,f248,f418,f543,f536]) ).
fof(f558,plain,
! [X0] :
( ~ sQ71_spl
| one(X0)
| ~ connection(X0,out1(and2(h1(f)))) ),
inference(resolution,[status(thm)],[f544,f70]) ).
fof(f559,plain,
! [X0] :
( ~ sQ71_spl
| one(X0)
| ~ connection(out1(and2(h1(f))),X0) ),
inference(resolution,[status(thm)],[f544,f66]) ).
fof(f586,plain,
( ~ sQ71_spl
| ~ halfadder(h1(f))
| one(outc(h1(f))) ),
inference(resolution,[status(thm)],[f558,f103]) ).
fof(f587,definition,
( sQ77_spl
<=> one(outc(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f588,plain,
( ~ sQ77_spl
| one(outc(h1(f))) ),
inference(component_clause,[status(thm)],[f587]) ).
fof(f590,plain,
( ~ sQ71_spl
| ~ sQ22_spl
| sQ77_spl ),
inference(split_clause,[status(thm)],[f586,f587,f251,f543]) ).
fof(f592,plain,
! [X0] :
( ~ sQ77_spl
| one(X0)
| ~ connection(outc(h1(f)),X0) ),
inference(resolution,[status(thm)],[f588,f66]) ).
fof(f594,plain,
( ~ sQ71_spl
| ~ halfadder(h1(f))
| one(in1(not1(h1(f)))) ),
inference(resolution,[status(thm)],[f559,f105]) ).
fof(f595,definition,
( sQ78_spl
<=> one(in1(not1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f596,plain,
( ~ sQ78_spl
| one(in1(not1(h1(f)))) ),
inference(component_clause,[status(thm)],[f595]) ).
fof(f598,plain,
( ~ sQ71_spl
| ~ sQ22_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f594,f595,f251,f543]) ).
fof(f603,plain,
( ~ sQ69_spl
| zero(in2(or1(f)))
| ~ or_ok(or1(f)) ),
inference(resolution,[status(thm)],[f531,f85]) ).
fof(f615,definition,
( sQ81_spl
<=> or_ok(or1(f)) ),
introduced(definition,[new_symbols(definition,[sQ81_spl])],[split_symbol_definition]) ).
fof(f618,definition,
( sQ82_spl
<=> zero(in2(or1(f))) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f619,plain,
( ~ sQ82_spl
| zero(in2(or1(f))) ),
inference(component_clause,[status(thm)],[f618]) ).
fof(f621,plain,
( ~ sQ69_spl
| sQ82_spl
| ~ sQ81_spl ),
inference(split_clause,[status(thm)],[f603,f615,f618,f530]) ).
fof(f635,plain,
( abnormal(or1(f))
| or_ok(or1(f)) ),
inference(resolution,[status(thm)],[f279,f118]) ).
fof(f636,plain,
( sQ0_spl
| sQ81_spl ),
inference(split_clause,[status(thm)],[f635,f615,f129]) ).
fof(f637,plain,
( sQ1_spl
| ~ halfadder(h1(f))
| and_ok(and1(h1(f))) ),
inference(resolution,[status(thm)],[f134,f278]) ).
fof(f638,definition,
( sQ84_spl
<=> and_ok(and1(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f641,plain,
( sQ1_spl
| ~ sQ22_spl
| sQ84_spl ),
inference(split_clause,[status(thm)],[f637,f638,f251,f132]) ).
fof(f643,plain,
( sQ3_spl
| ~ halfadder(h2(f))
| and_ok(and1(h2(f))) ),
inference(resolution,[status(thm)],[f142,f278]) ).
fof(f644,plain,
( sQ3_spl
| ~ sQ16_spl
| sQ68_spl ),
inference(split_clause,[status(thm)],[f643,f521,f211,f140]) ).
fof(f660,definition,
( sQ89_spl
<=> zero(out1(and1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f661,plain,
( ~ sQ89_spl
| zero(out1(and1(h1(f)))) ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f668,plain,
! [X0] :
( ~ sQ89_spl
| zero(X0)
| ~ connection(X0,out1(and1(h1(f)))) ),
inference(resolution,[status(thm)],[f661,f68]) ).
fof(f677,definition,
( sQ92_spl
<=> zero(in2(and1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f678,plain,
( ~ sQ92_spl
| zero(in2(and1(h1(f)))) ),
inference(component_clause,[status(thm)],[f677]) ).
fof(f697,plain,
( ~ sQ92_spl
| zero(out1(and1(h1(f))))
| ~ and_ok(and1(h1(f))) ),
inference(resolution,[status(thm)],[f678,f73]) ).
fof(f701,plain,
( ~ sQ92_spl
| sQ89_spl
| ~ sQ84_spl ),
inference(split_clause,[status(thm)],[f697,f638,f660,f677]) ).
fof(f716,plain,
( ~ sQ77_spl
| ~ fulladder(f)
| one(in2(or1(f))) ),
inference(resolution,[status(thm)],[f592,f111]) ).
fof(f719,plain,
( ~ sQ77_spl
| ~ sQ10_spl
| sQ9_spl ),
inference(split_clause,[status(thm)],[f716,f177,f182,f587]) ).
fof(f727,plain,
( ~ sQ9_spl
| ~ zero(in2(or1(f))) ),
inference(resolution,[status(thm)],[f178,f71]) ).
fof(f743,plain,
! [X0] :
( zero(out1(not1(X0)))
| ~ one(in1(not1(X0)))
| ~ halfadder(X0)
| abnormal(not1(X0)) ),
inference(resolution,[status(thm)],[f281,f89]) ).
fof(f769,plain,
( ~ sQ89_spl
| ~ halfadder(h1(f))
| zero(outs(h1(f))) ),
inference(resolution,[status(thm)],[f668,f102]) ).
fof(f770,definition,
( sQ102_spl
<=> zero(outs(h1(f))) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f771,plain,
( ~ sQ102_spl
| zero(outs(h1(f))) ),
inference(component_clause,[status(thm)],[f770]) ).
fof(f773,plain,
( ~ sQ89_spl
| ~ sQ22_spl
| sQ102_spl ),
inference(split_clause,[status(thm)],[f769,f770,f251,f660]) ).
fof(f775,plain,
! [X0] :
( ~ sQ102_spl
| zero(X0)
| ~ connection(outs(h1(f)),X0) ),
inference(resolution,[status(thm)],[f771,f64]) ).
fof(f847,plain,
( ~ sQ102_spl
| ~ fulladder(f)
| zero(in2(h2(f))) ),
inference(resolution,[status(thm)],[f775,f110]) ).
fof(f850,definition,
( sQ115_spl
<=> zero(in2(h2(f))) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f851,plain,
( ~ sQ115_spl
| zero(in2(h2(f))) ),
inference(component_clause,[status(thm)],[f850]) ).
fof(f853,plain,
( ~ sQ102_spl
| ~ sQ10_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f847,f850,f182,f770]) ).
fof(f862,plain,
! [X0] :
( ~ sQ115_spl
| zero(X0)
| ~ connection(in2(h2(f)),X0) ),
inference(resolution,[status(thm)],[f851,f64]) ).
fof(f899,plain,
( ~ sQ78_spl
| zero(out1(not1(h1(f))))
| ~ halfadder(h1(f))
| abnormal(not1(h1(f))) ),
inference(resolution,[status(thm)],[f743,f596]) ).
fof(f900,definition,
( sQ123_spl
<=> zero(out1(not1(h1(f)))) ),
introduced(definition,[new_symbols(definition,[sQ123_spl])],[split_symbol_definition]) ).
fof(f901,plain,
( ~ sQ123_spl
| zero(out1(not1(h1(f)))) ),
inference(component_clause,[status(thm)],[f900]) ).
fof(f903,plain,
( ~ sQ78_spl
| sQ123_spl
| ~ sQ22_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f899,f136,f251,f900,f595]) ).
fof(f946,plain,
! [X0] :
( ~ sQ123_spl
| zero(X0)
| ~ connection(out1(not1(h1(f))),X0) ),
inference(resolution,[status(thm)],[f901,f64]) ).
fof(f978,plain,
( ~ sQ123_spl
| ~ halfadder(h1(f))
| zero(in2(and1(h1(f)))) ),
inference(resolution,[status(thm)],[f946,f106]) ).
fof(f979,plain,
( ~ sQ123_spl
| ~ sQ22_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f978,f677,f251,f900]) ).
fof(f1016,plain,
( ~ sQ115_spl
| ~ halfadder(h2(f))
| zero(in2(or1(h2(f)))) ),
inference(resolution,[status(thm)],[f862,f99]) ).
fof(f1025,definition,
( sQ136_spl
<=> zero(in2(or1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1026,plain,
( ~ sQ136_spl
| zero(in2(or1(h2(f)))) ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1028,plain,
( ~ sQ115_spl
| ~ sQ16_spl
| sQ136_spl ),
inference(split_clause,[status(thm)],[f1016,f1025,f211,f850]) ).
fof(f1044,plain,
( ~ sQ136_spl
| zero(out1(or1(h2(f))))
| ~ zero(in1(or1(h2(f))))
| ~ or_ok(or1(h2(f))) ),
inference(resolution,[status(thm)],[f1026,f82]) ).
fof(f1048,definition,
( sQ140_spl
<=> or_ok(or1(h2(f))) ),
introduced(definition,[new_symbols(definition,[sQ140_spl])],[split_symbol_definition]) ).
fof(f1050,plain,
( sQ140_spl
| ~ or_ok(or1(h2(f))) ),
inference(component_clause,[status(thm)],[f1048]) ).
fof(f1051,definition,
( sQ141_spl
<=> zero(out1(or1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[sQ141_spl])],[split_symbol_definition]) ).
fof(f1052,plain,
( ~ sQ141_spl
| zero(out1(or1(h2(f)))) ),
inference(component_clause,[status(thm)],[f1051]) ).
fof(f1054,plain,
( ~ sQ136_spl
| sQ141_spl
| ~ sQ17_spl
| ~ sQ140_spl ),
inference(split_clause,[status(thm)],[f1044,f1048,f215,f1051,f1025]) ).
fof(f1091,plain,
( sQ140_spl
| ~ halfadder(h2(f))
| abnormal(or1(h2(f))) ),
inference(resolution,[status(thm)],[f1050,f280]) ).
fof(f1092,plain,
( sQ140_spl
| ~ sQ16_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f1091,f144,f211,f1048]) ).
fof(f1101,definition,
( sQ148_spl
<=> one(out1(or1(h2(f)))) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1102,plain,
( ~ sQ148_spl
| one(out1(or1(h2(f)))) ),
inference(component_clause,[status(thm)],[f1101]) ).
fof(f1142,plain,
( ~ sQ148_spl
| ~ zero(out1(or1(h2(f)))) ),
inference(resolution,[status(thm)],[f1102,f71]) ).
fof(f1147,plain,
( ~ sQ148_spl
| ~ sQ141_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1142,f1052]) ).
fof(f1148,plain,
( ~ sQ148_spl
| ~ sQ141_spl ),
inference(contradiction_clause,[status(thm)],[f1147]) ).
fof(f1149,plain,
( ~ sQ66_spl
| ~ halfadder(h2(f))
| one(out1(or1(h2(f)))) ),
inference(resolution,[status(thm)],[f526,f104]) ).
fof(f1150,plain,
( ~ sQ66_spl
| ~ sQ16_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1149,f1101,f211,f514]) ).
fof(f1151,plain,
( ~ sQ82_spl
| ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f619,f727]) ).
fof(f1152,plain,
( ~ sQ82_spl
| ~ sQ9_spl ),
inference(contradiction_clause,[status(thm)],[f1151]) ).
fof(f1153,plain,
$false,
inference(sat_refutation,[status(thm)],[f135,f139,f143,f147,f188,f190,f218,f220,f225,f254,f260,f402,f421,f478,f496,f525,f533,f539,f546,f590,f598,f621,f636,f641,f644,f701,f719,f773,f853,f903,f979,f1028,f1054,f1092,f1148,f1150,f1152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV007-2 : TPTP v9.3.1. Bugfixed v2.7.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % 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 20:47:58 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.059742 seconds
% 0.14/0.43 % CPU time: 0.228071 seconds
% 0.14/0.43 % Total memory used: 20.294 MB
% 0.14/0.43 % Net memory used: 20.225 MB
%------------------------------------------------------------------------------