%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : HWV008-1.002 : TPTP v9.3.1. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 0.47s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 30
% Syntax : Number of formulae : 128 ( 55 unt; 0 def)
% Number of atoms : 231 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 202 ( 99 ~; 103 |; 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 : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 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(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(f42,axiom,
! [X] :
( connection(in(n2,X),in(n1,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(f47,axiom,
! [X] :
( type(f(n2,X),fulladder)
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X] :
( connection(out(c,X),out(c,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X] :
( connection(in(a2,X),in(n1,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X] :
( connection(in(b2,X),in(n2,f(n2,X)))
| ~ type(X,nbit_adder(n2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
type(a,nbit_adder(n2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f59,hypothesis,
value(in(a2,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f61,hypothesis,
value(in(b2,a),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,hypothesis,
value(out(c,a),n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
~ mode(or1(f(n2,a)),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ mode(and2(h1(f(n2,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
~ mode(and2(h2(f(n2,a))),abnormal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,plain,
! [P2,V] :
( value(P2,V)
| ! [P1] :
( ~ value(P1,V)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f70,plain,
! [X0,X1,X2] :
( value(X1,X2)
| ~ value(X0,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f71,plain,
! [P1,V] :
( value(P1,V)
| ! [P2] :
( ~ value(P2,V)
| ~ connection(P1,P2) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f72,plain,
! [X0,X1,X2] :
( value(X0,X2)
| ~ value(X1,X2)
| ~ connection(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f73,plain,
! [V1,V2] :
( equal_value(V1,V2)
| ! [P] :
( ~ value(P,V2)
| ~ value(P,V1) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f74,plain,
! [X0,X1,X2] :
( equal_value(X1,X2)
| ~ value(X0,X2)
| ~ value(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
~ equal_value(n0,n1),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f76,plain,
~ equal_value(n1,n0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f78,plain,
! [K] :
( mode(K,abnormal)
| mode(K,ok)
| ! [Any] : ~ type(K,Any) ),
inference(miniscoping,[status(thm)],[f7]) ).
fof(f79,plain,
! [X0,X1] :
( mode(X0,abnormal)
| mode(X0,ok)
| ~ type(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f78]) ).
fof(f80,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(f81,plain,
! [X0,X1] :
( value(out(n1,X0),n0)
| ~ value(in(X1,X0),n0)
| ~ type(X0,and)
| ~ mode(X0,ok) ),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f89,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(f97,plain,
! [X0] :
( type(and2(X0),and)
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f102,plain,
! [X0] :
( connection(in(n1,X0),in(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f105,plain,
! [X0] :
( connection(out(c,X0),out(n1,and2(X0)))
| ~ type(X0,halfadder) ),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f109,plain,
! [X0] :
( type(h1(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f110,plain,
! [X0] :
( type(h2(X0),halfadder)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f111,plain,
! [X0] :
( type(or1(X0),or)
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f113,plain,
! [X0] :
( connection(out(c,h1(X0)),in(n2,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f114,plain,
! [X0] :
( connection(out(c,h2(X0)),in(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f115,plain,
! [X0] :
( connection(in(n1,X0),in(n1,h2(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f116,plain,
! [X0] :
( connection(in(n2,X0),in(n1,h1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f119,plain,
! [X0] :
( connection(out(c,X0),out(n1,or1(X0)))
| ~ type(X0,fulladder) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f121,plain,
! [X0] :
( type(f(n2,X0),fulladder)
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f124,plain,
! [X0] :
( connection(out(c,X0),out(c,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f127,plain,
! [X0] :
( connection(in(a2,X0),in(n1,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f128,plain,
! [X0] :
( connection(in(b2,X0),in(n2,f(n2,X0)))
| ~ type(X0,nbit_adder(n2)) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f131,plain,
type(a,nbit_adder(n2)),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f133,plain,
value(in(a2,a),n0),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f135,plain,
value(in(b2,a),n0),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f139,plain,
value(out(c,a),n1),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f140,plain,
~ mode(or1(f(n2,a)),abnormal),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f141,plain,
~ mode(and2(h1(f(n2,a))),abnormal),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f142,plain,
~ mode(and2(h2(f(n2,a))),abnormal),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f218,plain,
type(f(n2,a),fulladder),
inference(resolution,[status(thm)],[f121,f131]) ).
fof(f219,plain,
connection(out(c,f(n2,a)),out(n1,or1(f(n2,a)))),
inference(resolution,[status(thm)],[f218,f119]) ).
fof(f220,plain,
type(or1(f(n2,a)),or),
inference(resolution,[status(thm)],[f218,f111]) ).
fof(f221,plain,
connection(out(c,h2(f(n2,a))),in(n1,or1(f(n2,a)))),
inference(resolution,[status(thm)],[f218,f114]) ).
fof(f222,plain,
connection(out(c,h1(f(n2,a))),in(n2,or1(f(n2,a)))),
inference(resolution,[status(thm)],[f218,f113]) ).
fof(f224,plain,
connection(in(n2,f(n2,a)),in(n1,h1(f(n2,a)))),
inference(resolution,[status(thm)],[f218,f116]) ).
fof(f225,plain,
connection(in(n1,f(n2,a)),in(n1,h2(f(n2,a)))),
inference(resolution,[status(thm)],[f218,f115]) ).
fof(f226,plain,
type(h2(f(n2,a)),halfadder),
inference(resolution,[status(thm)],[f218,f110]) ).
fof(f227,plain,
type(h1(f(n2,a)),halfadder),
inference(resolution,[status(thm)],[f218,f109]) ).
fof(f229,plain,
( mode(or1(f(n2,a)),abnormal)
| mode(or1(f(n2,a)),ok) ),
inference(resolution,[status(thm)],[f220,f79]) ).
fof(f230,plain,
mode(or1(f(n2,a)),ok),
inference(forward_subsumption_resolution,[status(thm)],[f229,f140]) ).
fof(f231,plain,
connection(out(c,h2(f(n2,a))),out(n1,and2(h2(f(n2,a))))),
inference(resolution,[status(thm)],[f226,f105]) ).
fof(f233,plain,
connection(in(n1,h2(f(n2,a))),in(n1,and2(h2(f(n2,a))))),
inference(resolution,[status(thm)],[f226,f102]) ).
fof(f239,plain,
type(and2(h2(f(n2,a))),and),
inference(resolution,[status(thm)],[f226,f97]) ).
fof(f241,plain,
connection(out(c,h1(f(n2,a))),out(n1,and2(h1(f(n2,a))))),
inference(resolution,[status(thm)],[f227,f105]) ).
fof(f243,plain,
connection(in(n1,h1(f(n2,a))),in(n1,and2(h1(f(n2,a))))),
inference(resolution,[status(thm)],[f227,f102]) ).
fof(f249,plain,
type(and2(h1(f(n2,a))),and),
inference(resolution,[status(thm)],[f227,f97]) ).
fof(f254,plain,
( mode(and2(h2(f(n2,a))),abnormal)
| mode(and2(h2(f(n2,a))),ok) ),
inference(resolution,[status(thm)],[f239,f79]) ).
fof(f255,plain,
mode(and2(h2(f(n2,a))),ok),
inference(forward_subsumption_resolution,[status(thm)],[f254,f142]) ).
fof(f260,plain,
( mode(and2(h1(f(n2,a))),abnormal)
| mode(and2(h1(f(n2,a))),ok) ),
inference(resolution,[status(thm)],[f249,f79]) ).
fof(f261,plain,
mode(and2(h1(f(n2,a))),ok),
inference(forward_subsumption_resolution,[status(thm)],[f260,f141]) ).
fof(f267,plain,
! [X0] :
( value(out(n1,or1(f(n2,a))),X0)
| ~ value(out(c,f(n2,a)),X0) ),
inference(resolution,[status(thm)],[f219,f70]) ).
fof(f271,plain,
! [X0] :
( value(in(n1,h1(f(n2,a))),X0)
| ~ value(in(n2,f(n2,a)),X0) ),
inference(resolution,[status(thm)],[f224,f70]) ).
fof(f273,plain,
! [X0] :
( value(in(n1,h2(f(n2,a))),X0)
| ~ value(in(n1,f(n2,a)),X0) ),
inference(resolution,[status(thm)],[f225,f70]) ).
fof(f278,plain,
! [X0] :
( value(in(n1,or1(f(n2,a))),X0)
| ~ value(out(c,h2(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[f221,f70]) ).
fof(f315,plain,
! [X0] :
( value(out(c,h1(f(n2,a))),X0)
| ~ value(in(n2,or1(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[f222,f72]) ).
fof(f347,plain,
connection(out(c,a),out(c,f(n2,a))),
inference(resolution,[status(thm)],[f124,f131]) ).
fof(f349,plain,
! [X0] :
( value(out(c,f(n2,a)),X0)
| ~ value(out(c,a),X0) ),
inference(resolution,[status(thm)],[f347,f70]) ).
fof(f350,plain,
value(out(c,f(n2,a)),n1),
inference(resolution,[status(thm)],[f349,f139]) ).
fof(f384,plain,
connection(in(a2,a),in(n1,f(n2,a))),
inference(resolution,[status(thm)],[f127,f131]) ).
fof(f386,plain,
! [X0] :
( value(in(n1,f(n2,a)),X0)
| ~ value(in(a2,a),X0) ),
inference(resolution,[status(thm)],[f384,f70]) ).
fof(f387,plain,
value(in(n1,f(n2,a)),n0),
inference(resolution,[status(thm)],[f386,f133]) ).
fof(f393,plain,
connection(in(b2,a),in(n2,f(n2,a))),
inference(resolution,[status(thm)],[f128,f131]) ).
fof(f397,plain,
! [X0] :
( value(in(n2,f(n2,a)),X0)
| ~ value(in(b2,a),X0) ),
inference(resolution,[status(thm)],[f393,f70]) ).
fof(f402,plain,
value(in(n2,f(n2,a)),n0),
inference(resolution,[status(thm)],[f397,f135]) ).
fof(f434,plain,
! [X0] :
( value(out(c,h2(f(n2,a))),X0)
| ~ value(out(n1,and2(h2(f(n2,a)))),X0) ),
inference(resolution,[status(thm)],[f231,f72]) ).
fof(f439,plain,
! [X0] :
( value(in(n1,and2(h2(f(n2,a)))),X0)
| ~ value(in(n1,h2(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[f233,f70]) ).
fof(f444,plain,
! [X0] :
( value(out(c,h1(f(n2,a))),X0)
| ~ value(out(n1,and2(h1(f(n2,a)))),X0) ),
inference(resolution,[status(thm)],[f241,f72]) ).
fof(f449,plain,
! [X0] :
( value(in(n1,and2(h1(f(n2,a)))),X0)
| ~ value(in(n1,h1(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[f243,f70]) ).
fof(f460,plain,
value(out(n1,or1(f(n2,a))),n1),
inference(resolution,[status(thm)],[f267,f350]) ).
fof(f463,plain,
( value(in(n2,or1(f(n2,a))),n1)
| value(in(n1,or1(f(n2,a))),n1)
| ~ type(or1(f(n2,a)),or)
| ~ mode(or1(f(n2,a)),ok) ),
inference(resolution,[status(thm)],[f460,f89]) ).
fof(f468,plain,
( value(in(n2,or1(f(n2,a))),n1)
| value(in(n1,or1(f(n2,a))),n1)
| ~ type(or1(f(n2,a)),or) ),
inference(forward_subsumption_resolution,[status(thm)],[f463,f230]) ).
fof(f472,plain,
value(in(n1,h1(f(n2,a))),n0),
inference(resolution,[status(thm)],[f271,f402]) ).
fof(f478,plain,
value(in(n1,h2(f(n2,a))),n0),
inference(resolution,[status(thm)],[f273,f387]) ).
fof(f479,plain,
( value(in(n2,or1(f(n2,a))),n1)
| value(in(n1,or1(f(n2,a))),n1) ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f220]) ).
fof(f522,plain,
( value(in(n1,or1(f(n2,a))),n1)
| value(out(c,h1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[f315,f479]) ).
fof(f523,plain,
! [X0] :
( equal_value(n1,X0)
| ~ value(out(c,h1(f(n2,a))),X0)
| value(in(n1,or1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[f522,f74]) ).
fof(f567,plain,
value(in(n1,and2(h2(f(n2,a)))),n0),
inference(resolution,[status(thm)],[f439,f478]) ).
fof(f570,plain,
( value(out(n1,and2(h2(f(n2,a)))),n0)
| ~ type(and2(h2(f(n2,a))),and)
| ~ mode(and2(h2(f(n2,a))),ok) ),
inference(resolution,[status(thm)],[f567,f81]) ).
fof(f573,plain,
( value(out(n1,and2(h2(f(n2,a)))),n0)
| ~ type(and2(h2(f(n2,a))),and) ),
inference(forward_subsumption_resolution,[status(thm)],[f570,f255]) ).
fof(f576,plain,
value(out(n1,and2(h2(f(n2,a)))),n0),
inference(forward_subsumption_resolution,[status(thm)],[f573,f239]) ).
fof(f577,plain,
value(out(c,h2(f(n2,a))),n0),
inference(resolution,[status(thm)],[f576,f434]) ).
fof(f586,plain,
value(in(n1,or1(f(n2,a))),n0),
inference(resolution,[status(thm)],[f577,f278]) ).
fof(f591,plain,
! [X0] :
( equal_value(n0,X0)
| ~ value(in(n1,or1(f(n2,a))),X0) ),
inference(resolution,[status(thm)],[f586,f74]) ).
fof(f602,plain,
value(in(n1,and2(h1(f(n2,a)))),n0),
inference(resolution,[status(thm)],[f449,f472]) ).
fof(f605,plain,
( value(out(n1,and2(h1(f(n2,a)))),n0)
| ~ type(and2(h1(f(n2,a))),and)
| ~ mode(and2(h1(f(n2,a))),ok) ),
inference(resolution,[status(thm)],[f602,f81]) ).
fof(f608,plain,
( value(out(n1,and2(h1(f(n2,a)))),n0)
| ~ type(and2(h1(f(n2,a))),and) ),
inference(forward_subsumption_resolution,[status(thm)],[f605,f261]) ).
fof(f616,plain,
value(out(n1,and2(h1(f(n2,a)))),n0),
inference(forward_subsumption_resolution,[status(thm)],[f608,f249]) ).
fof(f617,plain,
value(out(c,h1(f(n2,a))),n0),
inference(resolution,[status(thm)],[f616,f444]) ).
fof(f627,plain,
( equal_value(n1,n0)
| value(in(n1,or1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[f617,f523]) ).
fof(f629,plain,
value(in(n1,or1(f(n2,a))),n1),
inference(forward_subsumption_resolution,[status(thm)],[f627,f76]) ).
fof(f646,plain,
equal_value(n0,n1),
inference(resolution,[status(thm)],[f629,f591]) ).
fof(f651,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f646,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : HWV008-1.002 : TPTP v9.3.1. Bugfixed v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:48:41 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.47 % Refutation found
% 0.13/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.50 % Elapsed time: 0.129497 seconds
% 0.13/0.50 % CPU time: 0.895521 seconds
% 0.13/0.50 % Total memory used: 37.257 MB
% 0.13/0.50 % Net memory used: 35.920 MB
%------------------------------------------------------------------------------