%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV008-1.001 : TPTP v9.3.1. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 12:45:55 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.51s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 31
% Syntax : Number of formulae : 130 ( 55 unt; 0 def)
% Number of atoms : 235 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 206 ( 101 ~; 105 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 87 ( 87 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P1,P2,V] :
( value(P2,V)
| ~ value(P1,V)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P1,P2,V] :
( value(P1,V)
| ~ value(P2,V)
| ~ connection(P1,P2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P,V1,V2] :
( equal_value(V1,V2)
| ~ value(P,V2)
| ~ value(P,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
~ equal_value(n0,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
~ equal_value(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [K,Any] :
( mode(K,abnormal)
| mode(K,ok)
| ~ type(K,Any) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [K,Any] :
( value(out(n1,K),n0)
| ~ value(in(Any,K),n0)
| ~ type(K,and)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [K] :
( value(in(n2,K),n1)
| value(in(n1,K),n1)
| ~ value(out(n1,K),n1)
| ~ type(K,or)
| ~ mode(K,ok) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( type(and2(X),and)
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( connection(in(n1,X),in(n1,and2(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X] :
( connection(in(n2,X),in(n2,and2(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( connection(out(c,X),out(n1,and2(X)))
| ~ type(X,halfadder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] :
( type(h1(X),halfadder)
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] :
( type(h2(X),halfadder)
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] :
( type(or1(X),or)
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] :
( connection(out(c,h1(X)),in(n2,or1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] :
( connection(out(c,h2(X)),in(n1,or1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] :
( connection(in(n1,X),in(n1,h2(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [X] :
( connection(in(c,X),in(n2,h1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] :
( connection(out(c,X),out(n1,or1(X)))
| ~ type(X,fulladder) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,axiom,
! [X] :
( type(v(n1,X),fulladder)
| ~ type(X,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X] :
( connection(out(c,X),out(c,v(n1,X)))
| ~ type(X,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [X] :
( connection(in(a1,X),in(n1,v(n1,X)))
| ~ type(X,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
! [X] :
( connection(in(c,X),in(c,v(n1,X)))
| ~ type(X,nbit_adder(n1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,hypothesis,
type(a,nbit_adder(n1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,hypothesis,
value(in(a1,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,hypothesis,
value(in(c,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
value(out(c,a),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
~ mode(or1(v(n1,a)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,negated_conjecture,
~ mode(and2(h1(v(n1,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
~ mode(and2(h2(v(n1,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,plain,
! [P2,V] :
( value(P2,V)
| ! [P1] :
( ~ value(P1,V)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f62,plain,
! [X0,X1,X2] :
( value(X1,X2)
| ~ value(X0,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f63,plain,
! [P1,V] :
( value(P1,V)
| ! [P2] :
( ~ value(P2,V)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f64,plain,
! [X0,X1,X2] :
( value(X0,X2)
| ~ value(X1,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [V1,V2] :
( equal_value(V1,V2)
| ! [P] :
( ~ value(P,V2)
| ~ value(P,V1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f66,plain,
! [X0,X1,X2] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
~ equal_value(n0,n1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f68,plain,
~ equal_value(n1,n0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f70,plain,
! [K] :
( mode(K,abnormal)
| mode(K,ok)
| ! [Any] : ~ type(K,Any) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f71,plain,
! [X0,X1] :
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [K] :
( value(out(n1,K),n0)
| ! [Any] : ~ value(in(Any,K),n0)
| ~ type(K,and)
| ~ mode(K,ok) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f73,plain,
! [X0,X1] :
( value(out(n1,X0),n0)
| ~ value(in(X1,X0),n0)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f81,plain,
! [X0] :
( value(in(n2,X0),n1)
| value(in(n1,X0),n1)
| ~ value(out(n1,X0),n1)
| ~ type(X0,or)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f89,plain,
! [X0] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f94,plain,
! [X0] :
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f95,plain,
! [X0] :
( connection(in(n2,X0),in(n2,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f97,plain,
! [X0] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f101,plain,
! [X0] :
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f102,plain,
! [X0] :
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f103,plain,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f105,plain,
! [X0] :
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f106,plain,
! [X0] :
( connection(out(c,h2(X0)),in(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f107,plain,
! [X0] :
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f109,plain,
! [X0] :
( connection(in(c,X0),in(n2,h1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f111,plain,
! [X0] :
( connection(out(c,X0),out(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f112,plain,
! [X0] :
( type(v(n1,X0),fulladder)
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f114,plain,
! [X0] :
( connection(out(c,X0),out(c,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f115,plain,
! [X0] :
( connection(in(a1,X0),in(n1,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f117,plain,
! [X0] :
( connection(in(c,X0),in(c,v(n1,X0)))
| ~ type(X0,nbit_adder(n1)) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f118,plain,
type(a,nbit_adder(n1)),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f119,plain,
value(in(a1,a),n0),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f121,plain,
value(in(c,a),n0),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f123,plain,
value(out(c,a),n1),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f124,plain,
~ mode(or1(v(n1,a)),abnormal),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f125,plain,
~ mode(and2(h1(v(n1,a))),abnormal),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f126,plain,
~ mode(and2(h2(v(n1,a))),abnormal),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f143,plain,
type(v(n1,a),fulladder),
inference(resolution,[status(thm)],[f112,f118]) ).
fof(f144,plain,
connection(out(c,h2(v(n1,a))),in(n1,or1(v(n1,a)))),
inference(resolution,[status(thm)],[f143,f106]) ).
fof(f145,plain,
connection(out(c,h1(v(n1,a))),in(n2,or1(v(n1,a)))),
inference(resolution,[status(thm)],[f143,f105]) ).
fof(f146,plain,
connection(out(c,v(n1,a)),out(n1,or1(v(n1,a)))),
inference(resolution,[status(thm)],[f143,f111]) ).
fof(f147,plain,
connection(in(c,v(n1,a)),in(n2,h1(v(n1,a)))),
inference(resolution,[status(thm)],[f143,f109]) ).
fof(f149,plain,
connection(in(n1,v(n1,a)),in(n1,h2(v(n1,a)))),
inference(resolution,[status(thm)],[f143,f107]) ).
fof(f150,plain,
type(or1(v(n1,a)),or),
inference(resolution,[status(thm)],[f143,f103]) ).
fof(f151,plain,
type(h2(v(n1,a)),halfadder),
inference(resolution,[status(thm)],[f143,f102]) ).
fof(f152,plain,
type(h1(v(n1,a)),halfadder),
inference(resolution,[status(thm)],[f143,f101]) ).
fof(f154,plain,
( mode(or1(v(n1,a)),abnormal)
| mode(or1(v(n1,a)),ok) ),
inference(resolution,[status(thm)],[f150,f71]) ).
fof(f155,plain,
mode(or1(v(n1,a)),ok),
inference(forward_subsumption_resolution,[status(thm)],[f154,f124]) ).
fof(f156,plain,
connection(out(c,h2(v(n1,a))),out(n1,and2(h2(v(n1,a))))),
inference(resolution,[status(thm)],[f151,f97]) ).
fof(f161,plain,
connection(in(n1,h2(v(n1,a))),in(n1,and2(h2(v(n1,a))))),
inference(resolution,[status(thm)],[f151,f94]) ).
fof(f164,plain,
type(and2(h2(v(n1,a))),and),
inference(resolution,[status(thm)],[f151,f89]) ).
fof(f166,plain,
connection(out(c,h1(v(n1,a))),out(n1,and2(h1(v(n1,a))))),
inference(resolution,[status(thm)],[f152,f97]) ).
fof(f170,plain,
connection(in(n2,h1(v(n1,a))),in(n2,and2(h1(v(n1,a))))),
inference(resolution,[status(thm)],[f152,f95]) ).
fof(f174,plain,
type(and2(h1(v(n1,a))),and),
inference(resolution,[status(thm)],[f152,f89]) ).
fof(f179,plain,
( mode(and2(h2(v(n1,a))),abnormal)
| mode(and2(h2(v(n1,a))),ok) ),
inference(resolution,[status(thm)],[f164,f71]) ).
fof(f180,plain,
mode(and2(h2(v(n1,a))),ok),
inference(forward_subsumption_resolution,[status(thm)],[f179,f126]) ).
fof(f185,plain,
! [X0] :
( value(in(n1,or1(v(n1,a))),X0)
| ~ value(out(c,h2(v(n1,a))),X0) ),
inference(resolution,[status(thm)],[f144,f62]) ).
fof(f186,plain,
( mode(and2(h1(v(n1,a))),abnormal)
| mode(and2(h1(v(n1,a))),ok) ),
inference(resolution,[status(thm)],[f174,f71]) ).
fof(f187,plain,
mode(and2(h1(v(n1,a))),ok),
inference(forward_subsumption_resolution,[status(thm)],[f186,f125]) ).
fof(f190,plain,
! [X0] :
( value(out(n1,or1(v(n1,a))),X0)
| ~ value(out(c,v(n1,a)),X0) ),
inference(resolution,[status(thm)],[f146,f62]) ).
fof(f192,plain,
! [X0] :
( value(in(n2,h1(v(n1,a))),X0)
| ~ value(in(c,v(n1,a)),X0) ),
inference(resolution,[status(thm)],[f147,f62]) ).
fof(f196,plain,
! [X0] :
( value(in(n1,h2(v(n1,a))),X0)
| ~ value(in(n1,v(n1,a)),X0) ),
inference(resolution,[status(thm)],[f149,f62]) ).
fof(f198,plain,
! [X0] :
( value(out(c,h1(v(n1,a))),X0)
| ~ value(in(n2,or1(v(n1,a))),X0) ),
inference(resolution,[status(thm)],[f145,f64]) ).
fof(f200,plain,
! [X0] :
( value(out(c,h2(v(n1,a))),X0)
| ~ value(out(n1,and2(h2(v(n1,a)))),X0) ),
inference(resolution,[status(thm)],[f156,f64]) ).
fof(f225,plain,
! [X0] :
( value(in(n1,and2(h2(v(n1,a)))),X0)
| ~ value(in(n1,h2(v(n1,a))),X0) ),
inference(resolution,[status(thm)],[f161,f62]) ).
fof(f230,plain,
! [X0] :
( value(out(c,h1(v(n1,a))),X0)
| ~ value(out(n1,and2(h1(v(n1,a)))),X0) ),
inference(resolution,[status(thm)],[f166,f64]) ).
fof(f233,plain,
! [X0] :
( value(in(n2,and2(h1(v(n1,a)))),X0)
| ~ value(in(n2,h1(v(n1,a))),X0) ),
inference(resolution,[status(thm)],[f170,f62]) ).
fof(f241,plain,
connection(out(c,a),out(c,v(n1,a))),
inference(resolution,[status(thm)],[f114,f118]) ).
fof(f243,plain,
! [X0] :
( value(out(c,v(n1,a)),X0)
| ~ value(out(c,a),X0) ),
inference(resolution,[status(thm)],[f241,f62]) ).
fof(f244,plain,
value(out(c,v(n1,a)),n1),
inference(resolution,[status(thm)],[f243,f123]) ).
fof(f248,plain,
connection(in(a1,a),in(n1,v(n1,a))),
inference(resolution,[status(thm)],[f115,f118]) ).
fof(f250,plain,
! [X0] :
( value(in(n1,v(n1,a)),X0)
| ~ value(in(a1,a),X0) ),
inference(resolution,[status(thm)],[f248,f62]) ).
fof(f251,plain,
value(in(n1,v(n1,a)),n0),
inference(resolution,[status(thm)],[f250,f119]) ).
fof(f263,plain,
value(out(n1,or1(v(n1,a))),n1),
inference(resolution,[status(thm)],[f190,f244]) ).
fof(f265,plain,
( value(in(n2,or1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(or1(v(n1,a)),or)
| ~ mode(or1(v(n1,a)),ok) ),
inference(resolution,[status(thm)],[f263,f81]) ).
fof(f269,plain,
( value(in(n2,or1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1)
| ~ type(or1(v(n1,a)),or) ),
inference(forward_subsumption_resolution,[status(thm)],[f265,f155]) ).
fof(f289,plain,
connection(in(c,a),in(c,v(n1,a))),
inference(resolution,[status(thm)],[f117,f118]) ).
fof(f291,plain,
! [X0] :
( value(in(c,v(n1,a)),X0)
| ~ value(in(c,a),X0) ),
inference(resolution,[status(thm)],[f289,f62]) ).
fof(f292,plain,
value(in(c,v(n1,a)),n0),
inference(resolution,[status(thm)],[f291,f121]) ).
fof(f299,plain,
( value(in(n2,or1(v(n1,a))),n1)
| value(in(n1,or1(v(n1,a))),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f269,f150]) ).
fof(f306,plain,
value(in(n2,h1(v(n1,a))),n0),
inference(resolution,[status(thm)],[f292,f192]) ).
fof(f316,plain,
value(in(n1,h2(v(n1,a))),n0),
inference(resolution,[status(thm)],[f196,f251]) ).
fof(f324,plain,
( value(in(n1,or1(v(n1,a))),n1)
| value(out(c,h1(v(n1,a))),n1) ),
inference(resolution,[status(thm)],[f198,f299]) ).
fof(f344,plain,
! [X0] :
( equal_value(n1,X0)
| ~ value(out(c,h1(v(n1,a))),X0)
| value(in(n1,or1(v(n1,a))),n1) ),
inference(resolution,[status(thm)],[f324,f66]) ).
fof(f347,plain,
value(in(n1,and2(h2(v(n1,a)))),n0),
inference(resolution,[status(thm)],[f225,f316]) ).
fof(f350,plain,
( value(out(n1,and2(h2(v(n1,a)))),n0)
| ~ type(and2(h2(v(n1,a))),and)
| ~ mode(and2(h2(v(n1,a))),ok) ),
inference(resolution,[status(thm)],[f347,f73]) ).
fof(f353,plain,
( value(out(n1,and2(h2(v(n1,a)))),n0)
| ~ type(and2(h2(v(n1,a))),and) ),
inference(forward_subsumption_resolution,[status(thm)],[f350,f180]) ).
fof(f362,plain,
value(in(n2,and2(h1(v(n1,a)))),n0),
inference(resolution,[status(thm)],[f233,f306]) ).
fof(f365,plain,
( value(out(n1,and2(h1(v(n1,a)))),n0)
| ~ type(and2(h1(v(n1,a))),and)
| ~ mode(and2(h1(v(n1,a))),ok) ),
inference(resolution,[status(thm)],[f362,f73]) ).
fof(f368,plain,
( value(out(n1,and2(h1(v(n1,a)))),n0)
| ~ type(and2(h1(v(n1,a))),and) ),
inference(forward_subsumption_resolution,[status(thm)],[f365,f187]) ).
fof(f385,plain,
value(out(n1,and2(h2(v(n1,a)))),n0),
inference(forward_subsumption_resolution,[status(thm)],[f353,f164]) ).
fof(f386,plain,
value(out(c,h2(v(n1,a))),n0),
inference(resolution,[status(thm)],[f385,f200]) ).
fof(f395,plain,
value(in(n1,or1(v(n1,a))),n0),
inference(resolution,[status(thm)],[f386,f185]) ).
fof(f400,plain,
! [X0] :
( equal_value(n0,X0)
| ~ value(in(n1,or1(v(n1,a))),X0) ),
inference(resolution,[status(thm)],[f395,f66]) ).
fof(f421,plain,
value(out(n1,and2(h1(v(n1,a)))),n0),
inference(forward_subsumption_resolution,[status(thm)],[f368,f174]) ).
fof(f422,plain,
value(out(c,h1(v(n1,a))),n0),
inference(resolution,[status(thm)],[f421,f230]) ).
fof(f430,plain,
( equal_value(n1,n0)
| value(in(n1,or1(v(n1,a))),n1) ),
inference(resolution,[status(thm)],[f422,f344]) ).
fof(f433,plain,
value(in(n1,or1(v(n1,a))),n1),
inference(forward_subsumption_resolution,[status(thm)],[f430,f68]) ).
fof(f434,plain,
equal_value(n0,n1),
inference(resolution,[status(thm)],[f433,f400]) ).
fof(f439,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f434,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : HWV008-1.001 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 20 20:48:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.51 % Refutation found
% 0.13/0.51 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.53 % Elapsed time: 0.161124 seconds
% 0.13/0.53 % CPU time: 1.043846 seconds
% 0.13/0.53 % Total memory used: 37.925 MB
% 0.13/0.53 % Net memory used: 36.235 MB
%------------------------------------------------------------------------------