TSTP Solution File: HWV008-1.002 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV008-1.002 : TPTP v8.1.2. Bugfixed v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:21:54 EDT 2024
% Result : Unsatisfiable 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 42
% Syntax : Number of formulae : 160 ( 51 unt; 0 def)
% Number of atoms : 307 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 278 ( 131 ~; 134 |; 0 &)
% ( 13 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 19 ( 18 usr; 14 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 13 con; 0-2 aty)
% Number of variables : 81 ( 81 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [P1,P2,V] :
( ~ connection(P1,P2)
| ~ value(P1,V)
| value(P2,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [P1,P2,V] :
( ~ connection(P1,P2)
| ~ value(P2,V)
| value(P1,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [P,V1,V2] :
( ~ value(P,V1)
| ~ value(P,V2)
| equal_value(V1,V2) ),
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] :
( ~ type(K,Any)
| mode(K,ok)
| mode(K,abnormal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [K] :
( ~ mode(K,ok)
| ~ type(K,and)
| ~ value(out(n1,K),n1)
| value(in(n1,K),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [K] :
( ~ mode(K,ok)
| ~ type(K,or)
| ~ value(out(n1,K),n1)
| value(in(n1,K),n1)
| value(in(n2,K),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [X] :
( ~ type(X,halfadder)
| type(and2(X),and) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,axiom,
! [X] :
( ~ type(X,halfadder)
| connection(in(n1,X),in(n1,and2(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( ~ type(X,halfadder)
| connection(out(c,X),out(n1,and2(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] :
( ~ type(X,fulladder)
| type(h1(X),halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] :
( ~ type(X,fulladder)
| type(h2(X),halfadder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] :
( ~ type(X,fulladder)
| type(or1(X),or) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] :
( ~ type(X,fulladder)
| connection(out(c,h1(X)),in(n2,or1(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] :
( ~ type(X,fulladder)
| connection(out(c,h2(X)),in(n1,or1(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] :
( ~ type(X,fulladder)
| connection(in(n1,X),in(n1,h2(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,axiom,
! [X] :
( ~ type(X,fulladder)
| connection(in(n2,X),in(n1,h1(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] :
( ~ type(X,fulladder)
| connection(out(c,X),out(n1,or1(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f47,axiom,
! [X] :
( ~ type(X,nbit_adder(n2))
| type(f(n2,X),fulladder) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
! [X] :
( ~ type(X,nbit_adder(n2))
| connection(out(c,X),out(c,f(n2,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,axiom,
! [X] :
( ~ type(X,nbit_adder(n2))
| connection(in(a2,X),in(n1,f(n2,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [X] :
( ~ type(X,nbit_adder(n2))
| connection(in(b2,X),in(n2,f(n2,X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,hypothesis,
type(a,nbit_adder(n2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f59,hypothesis,
value(in(a2,a),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f61,hypothesis,
value(in(b2,a),n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,hypothesis,
value(out(c,a),n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,negated_conjecture,
~ mode(or1(f(n2,a)),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ mode(and2(h1(f(n2,a))),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,negated_conjecture,
~ mode(and2(h2(f(n2,a))),abnormal),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,plain,
! [P2,V] :
( ! [P1] :
( ~ connection(P1,P2)
| ~ value(P1,V) )
| value(P2,V) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ connection(X0,X1)
| ~ value(X0,X2)
| value(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f71,plain,
! [P1,V] :
( ! [P2] :
( ~ connection(P1,P2)
| ~ value(P2,V) )
| value(P1,V) ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ connection(X0,X1)
| ~ value(X1,X2)
| value(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f73,plain,
! [V1,V2] :
( ! [P] :
( ~ value(P,V1)
| ~ value(P,V2) )
| equal_value(V1,V2) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ value(X0,X1)
| ~ value(X0,X2)
| equal_value(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f76,plain,
~ equal_value(n1,n0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f78,plain,
! [K] :
( ! [Any] : ~ type(K,Any)
| mode(K,ok)
| mode(K,abnormal) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f79,plain,
! [X0,X1] :
( ~ type(X0,X1)
| mode(X0,ok)
| mode(X0,abnormal) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f84,plain,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(out(n1,X0),n1)
| value(in(n1,X0),n1) ),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f89,plain,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(out(n1,X0),n1)
| value(in(n1,X0),n1)
| value(in(n2,X0),n1) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f97,plain,
! [X0] :
( ~ type(X0,halfadder)
| type(and2(X0),and) ),
inference(cnf_transformation,[status(esa)],[f23]) ).
fof(f102,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(in(n1,X0),in(n1,and2(X0))) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f105,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(out(c,X0),out(n1,and2(X0))) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f109,plain,
! [X0] :
( ~ type(X0,fulladder)
| type(h1(X0),halfadder) ),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f110,plain,
! [X0] :
( ~ type(X0,fulladder)
| type(h2(X0),halfadder) ),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f111,plain,
! [X0] :
( ~ type(X0,fulladder)
| type(or1(X0),or) ),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f113,plain,
! [X0] :
( ~ type(X0,fulladder)
| connection(out(c,h1(X0)),in(n2,or1(X0))) ),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f114,plain,
! [X0] :
( ~ type(X0,fulladder)
| connection(out(c,h2(X0)),in(n1,or1(X0))) ),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f115,plain,
! [X0] :
( ~ type(X0,fulladder)
| connection(in(n1,X0),in(n1,h2(X0))) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f116,plain,
! [X0] :
( ~ type(X0,fulladder)
| connection(in(n2,X0),in(n1,h1(X0))) ),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f119,plain,
! [X0] :
( ~ type(X0,fulladder)
| connection(out(c,X0),out(n1,or1(X0))) ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f121,plain,
! [X0] :
( ~ type(X0,nbit_adder(n2))
| type(f(n2,X0),fulladder) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f124,plain,
! [X0] :
( ~ type(X0,nbit_adder(n2))
| connection(out(c,X0),out(c,f(n2,X0))) ),
inference(cnf_transformation,[status(esa)],[f50]) ).
fof(f127,plain,
! [X0] :
( ~ type(X0,nbit_adder(n2))
| connection(in(a2,X0),in(n1,f(n2,X0))) ),
inference(cnf_transformation,[status(esa)],[f53]) ).
fof(f128,plain,
! [X0] :
( ~ type(X0,nbit_adder(n2))
| connection(in(b2,X0),in(n2,f(n2,X0))) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f131,plain,
type(a,nbit_adder(n2)),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f133,plain,
value(in(a2,a),n0),
inference(cnf_transformation,[status(esa)],[f59]) ).
fof(f135,plain,
value(in(b2,a),n0),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f139,plain,
value(out(c,a),n1),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f140,plain,
~ mode(or1(f(n2,a)),abnormal),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f141,plain,
~ mode(and2(h1(f(n2,a))),abnormal),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f142,plain,
~ mode(and2(h2(f(n2,a))),abnormal),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f151,plain,
! [X0] :
( ~ connection(out(c,a),X0)
| value(X0,n1) ),
inference(resolution,[status(thm)],[f70,f139]) ).
fof(f162,plain,
! [X0] :
( ~ connection(in(a2,a),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f133,f70]) ).
fof(f166,plain,
! [X0] :
( ~ connection(in(b2,a),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f135,f70]) ).
fof(f331,plain,
type(f(n2,a),fulladder),
inference(resolution,[status(thm)],[f121,f131]) ).
fof(f332,plain,
connection(out(c,f(n2,a)),out(n1,or1(f(n2,a)))),
inference(resolution,[status(thm)],[f331,f119]) ).
fof(f334,plain,
connection(in(n2,f(n2,a)),in(n1,h1(f(n2,a)))),
inference(resolution,[status(thm)],[f331,f116]) ).
fof(f335,plain,
connection(out(c,h2(f(n2,a))),in(n1,or1(f(n2,a)))),
inference(resolution,[status(thm)],[f331,f114]) ).
fof(f336,plain,
connection(in(n1,f(n2,a)),in(n1,h2(f(n2,a)))),
inference(resolution,[status(thm)],[f331,f115]) ).
fof(f337,plain,
connection(out(c,h1(f(n2,a))),in(n2,or1(f(n2,a)))),
inference(resolution,[status(thm)],[f331,f113]) ).
fof(f338,plain,
type(or1(f(n2,a)),or),
inference(resolution,[status(thm)],[f331,f111]) ).
fof(f339,plain,
type(h2(f(n2,a)),halfadder),
inference(resolution,[status(thm)],[f331,f110]) ).
fof(f340,plain,
type(h1(f(n2,a)),halfadder),
inference(resolution,[status(thm)],[f331,f109]) ).
fof(f349,plain,
( spl0_32
<=> mode(or1(f(n2,a)),ok) ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( spl0_33
<=> mode(or1(f(n2,a)),abnormal) ),
introduced(split_symbol_definition) ).
fof(f353,plain,
( mode(or1(f(n2,a)),abnormal)
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( mode(or1(f(n2,a)),ok)
| mode(or1(f(n2,a)),abnormal) ),
inference(resolution,[status(thm)],[f338,f79]) ).
fof(f356,plain,
( spl0_32
| spl0_33 ),
inference(split_clause,[status(thm)],[f355,f349,f352]) ).
fof(f360,plain,
connection(out(c,h2(f(n2,a))),out(n1,and2(h2(f(n2,a))))),
inference(resolution,[status(thm)],[f339,f105]) ).
fof(f362,plain,
connection(in(n1,h2(f(n2,a))),in(n1,and2(h2(f(n2,a))))),
inference(resolution,[status(thm)],[f339,f102]) ).
fof(f365,plain,
type(and2(h2(f(n2,a))),and),
inference(resolution,[status(thm)],[f339,f97]) ).
fof(f377,plain,
connection(out(c,h1(f(n2,a))),out(n1,and2(h1(f(n2,a))))),
inference(resolution,[status(thm)],[f340,f105]) ).
fof(f379,plain,
connection(in(n1,h1(f(n2,a))),in(n1,and2(h1(f(n2,a))))),
inference(resolution,[status(thm)],[f340,f102]) ).
fof(f382,plain,
type(and2(h1(f(n2,a))),and),
inference(resolution,[status(thm)],[f340,f97]) ).
fof(f415,plain,
( spl0_44
<=> mode(and2(h2(f(n2,a))),ok) ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( spl0_45
<=> mode(and2(h2(f(n2,a))),abnormal) ),
introduced(split_symbol_definition) ).
fof(f419,plain,
( mode(and2(h2(f(n2,a))),abnormal)
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( mode(and2(h2(f(n2,a))),ok)
| mode(and2(h2(f(n2,a))),abnormal) ),
inference(resolution,[status(thm)],[f365,f79]) ).
fof(f422,plain,
( spl0_44
| spl0_45 ),
inference(split_clause,[status(thm)],[f421,f415,f418]) ).
fof(f447,plain,
( spl0_52
<=> mode(and2(h1(f(n2,a))),ok) ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( spl0_53
<=> mode(and2(h1(f(n2,a))),abnormal) ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( mode(and2(h1(f(n2,a))),abnormal)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( mode(and2(h1(f(n2,a))),ok)
| mode(and2(h1(f(n2,a))),abnormal) ),
inference(resolution,[status(thm)],[f382,f79]) ).
fof(f454,plain,
( spl0_52
| spl0_53 ),
inference(split_clause,[status(thm)],[f453,f447,f450]) ).
fof(f532,plain,
connection(out(c,a),out(c,f(n2,a))),
inference(resolution,[status(thm)],[f124,f131]) ).
fof(f533,plain,
value(out(c,f(n2,a)),n1),
inference(resolution,[status(thm)],[f532,f151]) ).
fof(f536,plain,
! [X0] :
( ~ connection(out(c,f(n2,a)),X0)
| value(X0,n1) ),
inference(resolution,[status(thm)],[f533,f70]) ).
fof(f539,plain,
value(out(n1,or1(f(n2,a))),n1),
inference(resolution,[status(thm)],[f536,f332]) ).
fof(f540,plain,
( spl0_63
<=> type(or1(f(n2,a)),or) ),
introduced(split_symbol_definition) ).
fof(f542,plain,
( ~ type(or1(f(n2,a)),or)
| spl0_63 ),
inference(component_clause,[status(thm)],[f540]) ).
fof(f543,plain,
( spl0_64
<=> value(in(n1,or1(f(n2,a))),n1) ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( value(in(n1,or1(f(n2,a))),n1)
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( spl0_65
<=> value(in(n2,or1(f(n2,a))),n1) ),
introduced(split_symbol_definition) ).
fof(f547,plain,
( value(in(n2,or1(f(n2,a))),n1)
| ~ spl0_65 ),
inference(component_clause,[status(thm)],[f546]) ).
fof(f549,plain,
( ~ mode(or1(f(n2,a)),ok)
| ~ type(or1(f(n2,a)),or)
| value(in(n1,or1(f(n2,a))),n1)
| value(in(n2,or1(f(n2,a))),n1) ),
inference(resolution,[status(thm)],[f539,f89]) ).
fof(f550,plain,
( ~ spl0_32
| ~ spl0_63
| spl0_64
| spl0_65 ),
inference(split_clause,[status(thm)],[f549,f349,f540,f543,f546]) ).
fof(f561,plain,
( $false
| spl0_63 ),
inference(forward_subsumption_resolution,[status(thm)],[f542,f338]) ).
fof(f562,plain,
spl0_63,
inference(contradiction_clause,[status(thm)],[f561]) ).
fof(f569,plain,
! [X0] :
( ~ connection(X0,in(n1,or1(f(n2,a))))
| value(X0,n1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f544,f72]) ).
fof(f576,plain,
! [X0] :
( ~ connection(X0,in(n2,or1(f(n2,a))))
| value(X0,n1)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f547,f72]) ).
fof(f584,plain,
( value(out(c,h2(f(n2,a))),n1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f569,f335]) ).
fof(f783,plain,
! [X0] :
( ~ connection(out(c,h2(f(n2,a))),X0)
| value(X0,n1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f584,f70]) ).
fof(f785,plain,
( value(out(n1,and2(h2(f(n2,a)))),n1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f783,f360]) ).
fof(f790,plain,
( spl0_103
<=> value(in(n1,and2(h2(f(n2,a)))),n1) ),
introduced(split_symbol_definition) ).
fof(f791,plain,
( value(in(n1,and2(h2(f(n2,a)))),n1)
| ~ spl0_103 ),
inference(component_clause,[status(thm)],[f790]) ).
fof(f798,plain,
( spl0_105
<=> type(and2(h2(f(n2,a))),and) ),
introduced(split_symbol_definition) ).
fof(f800,plain,
( ~ type(and2(h2(f(n2,a))),and)
| spl0_105 ),
inference(component_clause,[status(thm)],[f798]) ).
fof(f803,plain,
( ~ mode(and2(h2(f(n2,a))),ok)
| ~ type(and2(h2(f(n2,a))),and)
| value(in(n1,and2(h2(f(n2,a)))),n1)
| ~ spl0_64 ),
inference(resolution,[status(thm)],[f785,f84]) ).
fof(f804,plain,
( ~ spl0_44
| ~ spl0_105
| spl0_103
| ~ spl0_64 ),
inference(split_clause,[status(thm)],[f803,f415,f798,f790,f543]) ).
fof(f808,plain,
( $false
| spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f800,f365]) ).
fof(f809,plain,
spl0_105,
inference(contradiction_clause,[status(thm)],[f808]) ).
fof(f810,plain,
( $false
| ~ spl0_33 ),
inference(forward_subsumption_resolution,[status(thm)],[f353,f140]) ).
fof(f811,plain,
~ spl0_33,
inference(contradiction_clause,[status(thm)],[f810]) ).
fof(f812,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f419,f142]) ).
fof(f813,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f812]) ).
fof(f818,plain,
connection(in(a2,a),in(n1,f(n2,a))),
inference(resolution,[status(thm)],[f127,f131]) ).
fof(f819,plain,
value(in(n1,f(n2,a)),n0),
inference(resolution,[status(thm)],[f818,f162]) ).
fof(f832,plain,
! [X0] :
( ~ connection(in(n1,f(n2,a)),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f819,f70]) ).
fof(f835,plain,
value(in(n1,h2(f(n2,a))),n0),
inference(resolution,[status(thm)],[f832,f336]) ).
fof(f854,plain,
! [X0] :
( ~ connection(in(n1,h2(f(n2,a))),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f835,f70]) ).
fof(f858,plain,
value(in(n1,and2(h2(f(n2,a)))),n0),
inference(resolution,[status(thm)],[f854,f362]) ).
fof(f891,plain,
! [X0] :
( ~ value(in(n1,and2(h2(f(n2,a)))),X0)
| equal_value(X0,n0) ),
inference(resolution,[status(thm)],[f858,f74]) ).
fof(f898,plain,
connection(in(b2,a),in(n2,f(n2,a))),
inference(resolution,[status(thm)],[f128,f131]) ).
fof(f899,plain,
value(in(n2,f(n2,a)),n0),
inference(resolution,[status(thm)],[f898,f166]) ).
fof(f906,plain,
! [X0] :
( ~ connection(in(n2,f(n2,a)),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f899,f70]) ).
fof(f909,plain,
value(in(n1,h1(f(n2,a))),n0),
inference(resolution,[status(thm)],[f906,f334]) ).
fof(f928,plain,
! [X0] :
( ~ connection(in(n1,h1(f(n2,a))),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f909,f70]) ).
fof(f963,plain,
( value(out(c,h1(f(n2,a))),n1)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f576,f337]) ).
fof(f966,plain,
! [X0] :
( ~ connection(out(c,h1(f(n2,a))),X0)
| value(X0,n1)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f963,f70]) ).
fof(f968,plain,
( value(out(n1,and2(h1(f(n2,a)))),n1)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f966,f377]) ).
fof(f981,plain,
( spl0_129
<=> value(in(n1,and2(h1(f(n2,a)))),n1) ),
introduced(split_symbol_definition) ).
fof(f982,plain,
( value(in(n1,and2(h1(f(n2,a)))),n1)
| ~ spl0_129 ),
inference(component_clause,[status(thm)],[f981]) ).
fof(f989,plain,
( spl0_131
<=> type(and2(h1(f(n2,a))),and) ),
introduced(split_symbol_definition) ).
fof(f991,plain,
( ~ type(and2(h1(f(n2,a))),and)
| spl0_131 ),
inference(component_clause,[status(thm)],[f989]) ).
fof(f994,plain,
( ~ mode(and2(h1(f(n2,a))),ok)
| ~ type(and2(h1(f(n2,a))),and)
| value(in(n1,and2(h1(f(n2,a)))),n1)
| ~ spl0_65 ),
inference(resolution,[status(thm)],[f968,f84]) ).
fof(f995,plain,
( ~ spl0_52
| ~ spl0_131
| spl0_129
| ~ spl0_65 ),
inference(split_clause,[status(thm)],[f994,f447,f989,f981,f546]) ).
fof(f999,plain,
( $false
| spl0_131 ),
inference(forward_subsumption_resolution,[status(thm)],[f991,f382]) ).
fof(f1000,plain,
spl0_131,
inference(contradiction_clause,[status(thm)],[f999]) ).
fof(f1001,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f141]) ).
fof(f1002,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f1001]) ).
fof(f1013,plain,
( equal_value(n1,n0)
| ~ spl0_103 ),
inference(resolution,[status(thm)],[f791,f891]) ).
fof(f1014,plain,
( $false
| ~ spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1013,f76]) ).
fof(f1015,plain,
~ spl0_103,
inference(contradiction_clause,[status(thm)],[f1014]) ).
fof(f1073,plain,
value(in(n1,and2(h1(f(n2,a)))),n0),
inference(resolution,[status(thm)],[f928,f379]) ).
fof(f1097,plain,
! [X0] :
( ~ value(in(n1,and2(h1(f(n2,a)))),X0)
| equal_value(X0,n0) ),
inference(resolution,[status(thm)],[f1073,f74]) ).
fof(f1137,plain,
( equal_value(n1,n0)
| ~ spl0_129 ),
inference(resolution,[status(thm)],[f1097,f982]) ).
fof(f1138,plain,
( $false
| ~ spl0_129 ),
inference(forward_subsumption_resolution,[status(thm)],[f1137,f76]) ).
fof(f1139,plain,
~ spl0_129,
inference(contradiction_clause,[status(thm)],[f1138]) ).
fof(f1140,plain,
$false,
inference(sat_refutation,[status(thm)],[f356,f422,f454,f550,f562,f804,f809,f811,f813,f995,f1000,f1002,f1015,f1139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV008-1.002 : TPTP v8.1.2. Bugfixed v2.2.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:10:25 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.21/0.47 % Refutation found
% 0.21/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.50 % Elapsed time: 0.131475 seconds
% 0.21/0.50 % CPU time: 0.926992 seconds
% 0.21/0.50 % Total memory used: 24.345 MB
% 0.21/0.50 % Net memory used: 23.998 MB
%------------------------------------------------------------------------------