%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV005-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 42
% Syntax : Number of formulae : 147 ( 34 unt; 18 def)
% Number of atoms : 313 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 321 ( 155 ~; 148 |; 0 &)
% ( 18 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 24 ( 23 usr; 19 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P1,P2,V] :
( value(P2,V)
| ~ value(P1,V)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P1,P2,V] :
( value(P1,V)
| ~ value(P2,V)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P,V1,V2] :
( equal_value(V1,V2)
| ~ value(P,V2)
| ~ value(P,V1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
~ equal_value(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [K,Any] :
( mode(K,abnormal)
| mode(K,ok)
| ~ type(K,Any) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [K] :
( value(in(n2,K),n0)
| value(in(n1,K),n0)
| ~ value(out(n1,K),n0)
| ~ type(K,and)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [K,Any] :
( value(out(n1,K),n1)
| ~ value(in(Any,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [K] :
( value(in(n1,K),n1)
| ~ value(out(n1,K),n0)
| ~ type(K,not)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( type(and1(X),and)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( type(not1(X),not)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( type(or1(X),or)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( connection(in(n1,X),in(n1,or1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( connection(out(s,X),out(n1,and1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( connection(out(c,X),out(n1,and2(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] :
( connection(out(n1,or1(X)),in(n1,and1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X] :
( connection(out(n1,and2(X)),in(n1,not1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] :
( connection(out(n1,not1(X)),in(n2,and1(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,hypothesis,
type(h,halfadder),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,hypothesis,
value(in(n1,h),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,hypothesis,
value(out(s,h),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,hypothesis,
value(out(c,h),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
~ mode(and1(h),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
~ mode(not1(h),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
~ mode(or1(h),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,plain,
! [P2,V] :
( value(P2,V)
| ! [P1] :
( ~ value(P1,V)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f44,plain,
! [X0,X1,X2] :
( value(X1,X2)
| ~ value(X0,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
! [P1,V] :
( value(P1,V)
| ! [P2] :
( ~ value(P2,V)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f46,plain,
! [X0,X1,X2] :
( value(X0,X2)
| ~ value(X1,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [V1,V2] :
( equal_value(V1,V2)
| ! [P] :
( ~ value(P,V2)
| ~ value(P,V1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f48,plain,
! [X0,X1,X2] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f50,plain,
~ equal_value(n1,n0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f52,plain,
! [K] :
( mode(K,abnormal)
| mode(K,ok)
| ! [Any] : ~ type(K,Any) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f53,plain,
! [X0,X1] :
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f57,plain,
! [X0] :
( value(in(n2,X0),n0)
| value(in(n1,X0),n0)
| ~ value(out(n1,X0),n0)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f60,plain,
! [K] :
( value(out(n1,K),n1)
| ! [Any] : ~ value(in(Any,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f61,plain,
! [X0,X1] :
( value(out(n1,X0),n1)
| ~ value(in(X1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f68,plain,
! [X0] :
( value(in(n1,X0),n1)
| ~ value(out(n1,X0),n0)
| ~ type(X0,not)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f70,plain,
! [X0] :
( type(and1(X0),and)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f72,plain,
! [X0] :
( type(not1(X0),not)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f73,plain,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f74,plain,
! [X0] :
( connection(in(n1,X0),in(n1,or1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f78,plain,
! [X0] :
( connection(out(s,X0),out(n1,and1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f79,plain,
! [X0] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f80,plain,
! [X0] :
( connection(out(n1,or1(X0)),in(n1,and1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f81,plain,
! [X0] :
( connection(out(n1,and2(X0)),in(n1,not1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
! [X0] :
( connection(out(n1,not1(X0)),in(n2,and1(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f83,plain,
type(h,halfadder),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f84,plain,
value(in(n1,h),n1),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f86,plain,
value(out(s,h),n0),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f87,plain,
value(out(c,h),n0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f88,plain,
~ mode(and1(h),abnormal),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f89,plain,
~ mode(not1(h),abnormal),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f90,plain,
~ mode(or1(h),abnormal),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f91,plain,
! [X0] :
( ~ value(X0,n0)
| ~ value(X0,n1) ),
inference(resolution,[status(thm)],[f48,f50]) ).
fof(f93,plain,
connection(in(n1,h),in(n1,or1(h))),
inference(resolution,[status(thm)],[f74,f83]) ).
fof(f95,plain,
! [X0] :
( value(in(n1,or1(h)),X0)
| ~ value(in(n1,h),X0) ),
inference(resolution,[status(thm)],[f93,f44]) ).
fof(f99,plain,
connection(out(n1,or1(h)),in(n1,and1(h))),
inference(resolution,[status(thm)],[f80,f83]) ).
fof(f100,plain,
connection(out(n1,and2(h)),in(n1,not1(h))),
inference(resolution,[status(thm)],[f81,f83]) ).
fof(f104,plain,
! [X0] :
( value(in(n1,and1(h)),X0)
| ~ value(out(n1,or1(h)),X0) ),
inference(resolution,[status(thm)],[f99,f44]) ).
fof(f105,plain,
! [X0] :
( value(out(n1,and2(h)),X0)
| ~ value(in(n1,not1(h)),X0) ),
inference(resolution,[status(thm)],[f100,f46]) ).
fof(f109,plain,
value(in(n1,or1(h)),n1),
inference(resolution,[status(thm)],[f95,f84]) ).
fof(f112,plain,
connection(out(n1,not1(h)),in(n2,and1(h))),
inference(resolution,[status(thm)],[f82,f83]) ).
fof(f113,plain,
! [X0] :
( value(out(n1,not1(h)),X0)
| ~ value(in(n2,and1(h)),X0) ),
inference(resolution,[status(thm)],[f112,f46]) ).
fof(f119,definition,
( sQ1_spl
<=> mode(or1(h),ok) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f120,plain,
( ~ sQ1_spl
| mode(or1(h),ok) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f121,plain,
( sQ1_spl
| ~ mode(or1(h),ok) ),
inference(component_clause,[status(thm)],[f119]) ).
fof(f181,plain,
( ~ value(in(n1,and1(h)),n0)
| ~ value(out(n1,or1(h)),n1) ),
inference(resolution,[status(thm)],[f104,f91]) ).
fof(f182,definition,
( sQ13_spl
<=> value(out(n1,or1(h)),n1) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f185,definition,
( sQ14_spl
<=> value(in(n1,and1(h)),n0) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f188,plain,
( ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f181,f182,f185]) ).
fof(f197,plain,
! [X0] :
( sQ1_spl
| mode(or1(h),abnormal)
| ~ type(or1(h),X0) ),
inference(resolution,[status(thm)],[f121,f53]) ).
fof(f198,definition,
! [X0] :
( sQ17_spl
<=> ~ type(or1(h),X0) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f199,plain,
! [X0] :
( ~ sQ17_spl
| ~ type(or1(h),X0) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f201,definition,
( sQ18_spl
<=> mode(or1(h),abnormal) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f202,plain,
( ~ sQ18_spl
| mode(or1(h),abnormal) ),
inference(component_clause,[status(thm)],[f201]) ).
fof(f204,plain,
( sQ1_spl
| sQ18_spl
| sQ17_spl ),
inference(split_clause,[status(thm)],[f197,f198,f201,f119]) ).
fof(f205,plain,
( ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f202,f90]) ).
fof(f206,plain,
~ sQ18_spl,
inference(contradiction_clause,[status(thm)],[f205]) ).
fof(f207,plain,
! [X0] :
( ~ sQ1_spl
| value(out(n1,or1(h)),n1)
| ~ value(in(X0,or1(h)),n1)
| ~ type(or1(h),or) ),
inference(resolution,[status(thm)],[f120,f61]) ).
fof(f208,definition,
( sQ19_spl
<=> type(or1(h),or) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f209,plain,
( ~ sQ19_spl
| type(or1(h),or) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f210,plain,
( sQ19_spl
| ~ type(or1(h),or) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f211,definition,
! [X0] :
( sQ20_spl
<=> ~ value(in(X0,or1(h)),n1) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f212,plain,
! [X0] :
( ~ sQ20_spl
| ~ value(in(X0,or1(h)),n1) ),
inference(component_clause,[status(thm)],[f211]) ).
fof(f214,plain,
( ~ sQ1_spl
| sQ13_spl
| sQ20_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f207,f208,f211,f182,f119]) ).
fof(f215,plain,
( sQ19_spl
| ~ type(h,halfadder) ),
inference(resolution,[status(thm)],[f210,f73]) ).
fof(f216,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f215,f83]) ).
fof(f217,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f216]) ).
fof(f220,plain,
( ~ sQ19_spl
| ~ sQ17_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f209,f199]) ).
fof(f222,plain,
( ~ sQ19_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f220]) ).
fof(f226,definition,
( sQ21_spl
<=> mode(and1(h),ok) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f228,plain,
( sQ21_spl
| ~ mode(and1(h),ok) ),
inference(component_clause,[status(thm)],[f226]) ).
fof(f244,plain,
( ~ sQ20_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f109,f212]) ).
fof(f246,plain,
~ sQ20_spl,
inference(contradiction_clause,[status(thm)],[f244]) ).
fof(f267,definition,
( sQ25_spl
<=> value(in(n1,not1(h)),n1) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f268,plain,
( ~ sQ25_spl
| value(in(n1,not1(h)),n1) ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f307,definition,
( sQ34_spl
<=> value(out(n1,and2(h)),n1) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f314,plain,
! [X0] :
( ~ type(X0,halfadder)
| value(in(n1,not1(X0)),n1)
| ~ value(out(n1,not1(X0)),n0)
| ~ mode(not1(X0),ok) ),
inference(resolution,[status(thm)],[f68,f72]) ).
fof(f323,plain,
! [X0,X1] :
( mode(not1(X0),abnormal)
| ~ type(not1(X0),X1)
| ~ type(X0,halfadder)
| value(in(n1,not1(X0)),n1)
| ~ value(out(n1,not1(X0)),n0) ),
inference(resolution,[status(thm)],[f314,f53]) ).
fof(f327,plain,
connection(out(s,h),out(n1,and1(h))),
inference(resolution,[status(thm)],[f78,f83]) ).
fof(f328,plain,
connection(out(c,h),out(n1,and2(h))),
inference(resolution,[status(thm)],[f79,f83]) ).
fof(f330,plain,
! [X0] :
( value(out(n1,and1(h)),X0)
| ~ value(out(s,h),X0) ),
inference(resolution,[status(thm)],[f327,f44]) ).
fof(f331,plain,
! [X0] :
( value(out(c,h),X0)
| ~ value(out(n1,and2(h)),X0) ),
inference(resolution,[status(thm)],[f328,f46]) ).
fof(f341,definition,
( sQ36_spl
<=> type(and1(h),and) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( ~ sQ36_spl
| type(and1(h),and) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f343,plain,
( sQ36_spl
| ~ type(and1(h),and) ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f351,plain,
( value(in(n1,and1(h)),n0)
| ~ value(out(n1,and1(h)),n0)
| ~ type(and1(h),and)
| ~ mode(and1(h),ok)
| value(out(n1,not1(h)),n0) ),
inference(resolution,[status(thm)],[f113,f57]) ).
fof(f352,definition,
( sQ39_spl
<=> value(out(n1,not1(h)),n0) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f355,definition,
( sQ40_spl
<=> value(out(n1,and1(h)),n0) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f357,plain,
( sQ40_spl
| ~ value(out(n1,and1(h)),n0) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ14_spl
| ~ sQ40_spl
| ~ sQ36_spl
| ~ sQ21_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f351,f352,f226,f341,f355,f185]) ).
fof(f359,plain,
! [X0] :
( sQ21_spl
| mode(and1(h),abnormal)
| ~ type(and1(h),X0) ),
inference(resolution,[status(thm)],[f228,f53]) ).
fof(f360,definition,
! [X0] :
( sQ41_spl
<=> ~ type(and1(h),X0) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f361,plain,
! [X0] :
( ~ sQ41_spl
| ~ type(and1(h),X0) ),
inference(component_clause,[status(thm)],[f360]) ).
fof(f363,definition,
( sQ42_spl
<=> mode(and1(h),abnormal) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( ~ sQ42_spl
| mode(and1(h),abnormal) ),
inference(component_clause,[status(thm)],[f363]) ).
fof(f366,plain,
( sQ21_spl
| sQ42_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f359,f360,f363,f226]) ).
fof(f367,plain,
( ~ sQ42_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f88]) ).
fof(f368,plain,
~ sQ42_spl,
inference(contradiction_clause,[status(thm)],[f367]) ).
fof(f377,plain,
( sQ36_spl
| ~ type(h,halfadder) ),
inference(resolution,[status(thm)],[f343,f70]) ).
fof(f378,plain,
( sQ36_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f377,f83]) ).
fof(f379,plain,
sQ36_spl,
inference(contradiction_clause,[status(thm)],[f378]) ).
fof(f393,plain,
( ~ sQ36_spl
| ~ sQ41_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f342,f361]) ).
fof(f395,plain,
( ~ sQ36_spl
| ~ sQ41_spl ),
inference(contradiction_clause,[status(thm)],[f393]) ).
fof(f404,plain,
! [X0] :
( mode(not1(h),abnormal)
| ~ type(not1(h),X0)
| value(in(n1,not1(h)),n1)
| ~ value(out(n1,not1(h)),n0) ),
inference(resolution,[status(thm)],[f323,f83]) ).
fof(f405,definition,
! [X0] :
( sQ47_spl
<=> ~ type(not1(h),X0) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f406,plain,
! [X0] :
( ~ sQ47_spl
| ~ type(not1(h),X0) ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ48_spl
<=> mode(not1(h),abnormal) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( ~ sQ48_spl
| mode(not1(h),abnormal) ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,plain,
( sQ48_spl
| sQ47_spl
| sQ25_spl
| ~ sQ39_spl ),
inference(split_clause,[status(thm)],[f404,f352,f267,f405,f408]) ).
fof(f425,plain,
( ~ sQ48_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f409,f89]) ).
fof(f426,plain,
~ sQ48_spl,
inference(contradiction_clause,[status(thm)],[f425]) ).
fof(f427,plain,
( ~ sQ47_spl
| ~ type(h,halfadder) ),
inference(resolution,[status(thm)],[f406,f72]) ).
fof(f428,plain,
( ~ sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f83]) ).
fof(f429,plain,
~ sQ47_spl,
inference(contradiction_clause,[status(thm)],[f428]) ).
fof(f430,plain,
value(out(n1,and1(h)),n0),
inference(resolution,[status(thm)],[f330,f86]) ).
fof(f442,plain,
( ~ value(out(c,h),n0)
| ~ value(out(n1,and2(h)),n1) ),
inference(resolution,[status(thm)],[f331,f91]) ).
fof(f443,definition,
( sQ53_spl
<=> value(out(c,h),n0) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ53_spl
| ~ value(out(c,h),n0) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( ~ sQ53_spl
| ~ sQ34_spl ),
inference(split_clause,[status(thm)],[f442,f307,f443]) ).
fof(f447,plain,
( sQ53_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f87]) ).
fof(f448,plain,
sQ53_spl,
inference(contradiction_clause,[status(thm)],[f447]) ).
fof(f492,plain,
( ~ sQ25_spl
| value(out(n1,and2(h)),n1) ),
inference(resolution,[status(thm)],[f268,f105]) ).
fof(f494,plain,
( ~ sQ25_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f492,f307,f267]) ).
fof(f495,plain,
( sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f357]) ).
fof(f496,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f495]) ).
fof(f497,plain,
$false,
inference(sat_refutation,[status(thm)],[f188,f204,f206,f214,f217,f222,f246,f358,f366,f368,f379,f395,f411,f426,f429,f446,f448,f494,f496]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV005-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n001.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 20:52:44 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.053833 seconds
% 0.14/0.43 % CPU time: 0.246646 seconds
% 0.14/0.43 % Total memory used: 20.422 MB
% 0.14/0.43 % Net memory used: 20.268 MB
%------------------------------------------------------------------------------