TSTP Solution File: HWV005-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : HWV005-1 : TPTP v8.1.2. Released v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 20:21:52 EDT 2024
% Result : Unsatisfiable 0.16s 0.50s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 39
% Syntax : Number of formulae : 124 ( 18 unt; 0 def)
% Number of atoms : 284 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 306 ( 146 ~; 144 |; 0 &)
% ( 16 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 21 usr; 17 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 12 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 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(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(f9,axiom,
! [K] :
( ~ mode(K,ok)
| ~ type(K,and)
| ~ value(in(n1,K),n1)
| ~ value(in(n2,K),n1)
| value(out(n1,K),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [K,Any] :
( ~ mode(K,ok)
| ~ type(K,or)
| ~ value(in(Any,K),n1)
| value(out(n1,K),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [K] :
( ~ mode(K,ok)
| ~ type(K,not)
| ~ value(in(n1,K),n0)
| value(out(n1,K),n1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [X] :
( ~ type(X,halfadder)
| type(and1(X),and) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( ~ type(X,halfadder)
| type(not1(X),not) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( ~ type(X,halfadder)
| type(or1(X),or) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [X] :
( ~ type(X,halfadder)
| connection(in(n1,X),in(n1,or1(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] :
( ~ type(X,halfadder)
| connection(out(s,X),out(n1,and1(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(f32,axiom,
! [X] :
( ~ type(X,halfadder)
| connection(out(n1,or1(X)),in(n1,and1(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X] :
( ~ type(X,halfadder)
| connection(out(n1,and2(X)),in(n1,not1(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] :
( ~ type(X,halfadder)
| connection(out(n1,not1(X)),in(n2,and1(X))) ),
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] :
( ! [P1] :
( ~ connection(P1,P2)
| ~ value(P1,V) )
| value(P2,V) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ connection(X0,X1)
| ~ value(X0,X2)
| value(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f43]) ).
fof(f47,plain,
! [V1,V2] :
( ! [P] :
( ~ value(P,V1)
| ~ value(P,V2) )
| equal_value(V1,V2) ),
inference(miniscoping,[status(esa)],[f3]) ).
fof(f48,plain,
! [X0,X1,X2] :
( ~ value(X0,X1)
| ~ value(X0,X2)
| equal_value(X1,X2) ),
inference(cnf_transformation,[status(esa)],[f47]) ).
fof(f50,plain,
~ equal_value(n1,n0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f52,plain,
! [K] :
( ! [Any] : ~ type(K,Any)
| mode(K,ok)
| mode(K,abnormal) ),
inference(miniscoping,[status(esa)],[f7]) ).
fof(f53,plain,
! [X0,X1] :
( ~ type(X0,X1)
| mode(X0,ok)
| mode(X0,abnormal) ),
inference(cnf_transformation,[status(esa)],[f52]) ).
fof(f56,plain,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,and)
| ~ value(in(n1,X0),n1)
| ~ value(in(n2,X0),n1)
| value(out(n1,X0),n1) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f60,plain,
! [K] :
( ~ mode(K,ok)
| ~ type(K,or)
| ! [Any] : ~ value(in(Any,K),n1)
| value(out(n1,K),n1) ),
inference(miniscoping,[status(esa)],[f13]) ).
fof(f61,plain,
! [X0,X1] :
( ~ mode(X0,ok)
| ~ type(X0,or)
| ~ value(in(X1,X0),n1)
| value(out(n1,X0),n1) ),
inference(cnf_transformation,[status(esa)],[f60]) ).
fof(f66,plain,
! [X0] :
( ~ mode(X0,ok)
| ~ type(X0,not)
| ~ value(in(n1,X0),n0)
| value(out(n1,X0),n1) ),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f70,plain,
! [X0] :
( ~ type(X0,halfadder)
| type(and1(X0),and) ),
inference(cnf_transformation,[status(esa)],[f22]) ).
fof(f72,plain,
! [X0] :
( ~ type(X0,halfadder)
| type(not1(X0),not) ),
inference(cnf_transformation,[status(esa)],[f24]) ).
fof(f73,plain,
! [X0] :
( ~ type(X0,halfadder)
| type(or1(X0),or) ),
inference(cnf_transformation,[status(esa)],[f25]) ).
fof(f74,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(in(n1,X0),in(n1,or1(X0))) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f78,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(out(s,X0),out(n1,and1(X0))) ),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f79,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(out(c,X0),out(n1,and2(X0))) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f80,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(out(n1,or1(X0)),in(n1,and1(X0))) ),
inference(cnf_transformation,[status(esa)],[f32]) ).
fof(f81,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(out(n1,and2(X0)),in(n1,not1(X0))) ),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f82,plain,
! [X0] :
( ~ type(X0,halfadder)
| connection(out(n1,not1(X0)),in(n2,and1(X0))) ),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f83,plain,
type(h,halfadder),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f84,plain,
value(in(n1,h),n1),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f86,plain,
value(out(s,h),n0),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f87,plain,
value(out(c,h),n0),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f88,plain,
~ mode(and1(h),abnormal),
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f89,plain,
~ mode(not1(h),abnormal),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f90,plain,
~ mode(or1(h),abnormal),
inference(cnf_transformation,[status(esa)],[f42]) ).
fof(f99,plain,
! [X0] :
( ~ type(X0,halfadder)
| mode(and1(X0),ok)
| mode(and1(X0),abnormal) ),
inference(resolution,[status(thm)],[f70,f53]) ).
fof(f100,plain,
! [X0] :
( ~ type(X0,halfadder)
| mode(not1(X0),ok)
| mode(not1(X0),abnormal) ),
inference(resolution,[status(thm)],[f72,f53]) ).
fof(f101,plain,
! [X0] :
( ~ type(X0,halfadder)
| mode(or1(X0),ok)
| mode(or1(X0),abnormal) ),
inference(resolution,[status(thm)],[f73,f53]) ).
fof(f102,plain,
( spl0_2
<=> type(h,halfadder) ),
introduced(split_symbol_definition) ).
fof(f104,plain,
( ~ type(h,halfadder)
| spl0_2 ),
inference(component_clause,[status(thm)],[f102]) ).
fof(f105,plain,
( spl0_3
<=> mode(and1(h),ok) ),
introduced(split_symbol_definition) ).
fof(f108,plain,
( ~ type(h,halfadder)
| mode(and1(h),ok) ),
inference(resolution,[status(thm)],[f99,f88]) ).
fof(f109,plain,
( ~ spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f108,f102,f105]) ).
fof(f110,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f104,f83]) ).
fof(f111,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f112,plain,
( spl0_4
<=> mode(not1(h),ok) ),
introduced(split_symbol_definition) ).
fof(f115,plain,
( ~ type(h,halfadder)
| mode(not1(h),ok) ),
inference(resolution,[status(thm)],[f100,f89]) ).
fof(f116,plain,
( ~ spl0_2
| spl0_4 ),
inference(split_clause,[status(thm)],[f115,f102,f112]) ).
fof(f117,plain,
( spl0_5
<=> mode(or1(h),ok) ),
introduced(split_symbol_definition) ).
fof(f120,plain,
( ~ type(h,halfadder)
| mode(or1(h),ok) ),
inference(resolution,[status(thm)],[f101,f90]) ).
fof(f121,plain,
( ~ spl0_2
| spl0_5 ),
inference(split_clause,[status(thm)],[f120,f102,f117]) ).
fof(f123,plain,
! [X0] :
( ~ connection(in(n1,h),X0)
| value(X0,n1) ),
inference(resolution,[status(thm)],[f44,f84]) ).
fof(f130,plain,
! [X0] :
( ~ connection(out(s,h),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f86,f44]) ).
fof(f133,plain,
! [X0] :
( ~ connection(out(c,h),X0)
| value(X0,n0) ),
inference(resolution,[status(thm)],[f87,f44]) ).
fof(f140,plain,
( spl0_7
<=> value(in(n1,or1(h)),n1) ),
introduced(split_symbol_definition) ).
fof(f141,plain,
( value(in(n1,or1(h)),n1)
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f140]) ).
fof(f143,plain,
( value(in(n1,or1(h)),n1)
| ~ type(h,halfadder) ),
inference(resolution,[status(thm)],[f123,f74]) ).
fof(f144,plain,
( spl0_7
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f143,f140,f102]) ).
fof(f241,plain,
( spl0_26
<=> value(out(n1,and2(h)),n0) ),
introduced(split_symbol_definition) ).
fof(f242,plain,
( value(out(n1,and2(h)),n0)
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f241]) ).
fof(f252,plain,
( spl0_27
<=> value(out(n1,and1(h)),n0) ),
introduced(split_symbol_definition) ).
fof(f253,plain,
( value(out(n1,and1(h)),n0)
| ~ spl0_27 ),
inference(component_clause,[status(thm)],[f252]) ).
fof(f255,plain,
( ~ type(h,halfadder)
| value(out(n1,and1(h)),n0) ),
inference(resolution,[status(thm)],[f78,f130]) ).
fof(f256,plain,
( ~ spl0_2
| spl0_27 ),
inference(split_clause,[status(thm)],[f255,f102,f252]) ).
fof(f257,plain,
( ~ type(h,halfadder)
| value(out(n1,and2(h)),n0) ),
inference(resolution,[status(thm)],[f79,f133]) ).
fof(f258,plain,
( ~ spl0_2
| spl0_26 ),
inference(split_clause,[status(thm)],[f257,f102,f241]) ).
fof(f267,plain,
( spl0_30
<=> type(or1(h),or) ),
introduced(split_symbol_definition) ).
fof(f269,plain,
( ~ type(or1(h),or)
| spl0_30 ),
inference(component_clause,[status(thm)],[f267]) ).
fof(f270,plain,
( spl0_31
<=> value(out(n1,or1(h)),n1) ),
introduced(split_symbol_definition) ).
fof(f271,plain,
( value(out(n1,or1(h)),n1)
| ~ spl0_31 ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( ~ mode(or1(h),ok)
| ~ type(or1(h),or)
| value(out(n1,or1(h)),n1)
| ~ spl0_7 ),
inference(resolution,[status(thm)],[f61,f141]) ).
fof(f274,plain,
( ~ spl0_5
| ~ spl0_30
| spl0_31
| ~ spl0_7 ),
inference(split_clause,[status(thm)],[f273,f117,f267,f270,f140]) ).
fof(f323,plain,
( ~ type(h,halfadder)
| spl0_30 ),
inference(resolution,[status(thm)],[f269,f73]) ).
fof(f324,plain,
( ~ spl0_2
| spl0_30 ),
inference(split_clause,[status(thm)],[f323,f102,f267]) ).
fof(f347,plain,
! [X0] :
( ~ connection(out(n1,and2(h)),X0)
| value(X0,n0)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f242,f44]) ).
fof(f361,plain,
! [X0] :
( ~ connection(out(n1,or1(h)),X0)
| value(X0,n1)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f271,f44]) ).
fof(f382,plain,
( spl0_46
<=> value(in(n1,not1(h)),n0) ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( value(in(n1,not1(h)),n0)
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( value(in(n1,not1(h)),n0)
| ~ type(h,halfadder)
| ~ spl0_26 ),
inference(resolution,[status(thm)],[f347,f81]) ).
fof(f386,plain,
( spl0_46
| ~ spl0_2
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f385,f382,f102,f241]) ).
fof(f387,plain,
( spl0_47
<=> type(not1(h),not) ),
introduced(split_symbol_definition) ).
fof(f389,plain,
( ~ type(not1(h),not)
| spl0_47 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_48
<=> value(out(n1,not1(h)),n1) ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( value(out(n1,not1(h)),n1)
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( ~ mode(not1(h),ok)
| ~ type(not1(h),not)
| value(out(n1,not1(h)),n1)
| ~ spl0_46 ),
inference(resolution,[status(thm)],[f383,f66]) ).
fof(f394,plain,
( ~ spl0_4
| ~ spl0_47
| spl0_48
| ~ spl0_46 ),
inference(split_clause,[status(thm)],[f393,f112,f387,f390,f382]) ).
fof(f406,plain,
( ~ type(h,halfadder)
| spl0_47 ),
inference(resolution,[status(thm)],[f389,f72]) ).
fof(f407,plain,
( ~ spl0_2
| spl0_47 ),
inference(split_clause,[status(thm)],[f406,f102,f387]) ).
fof(f432,plain,
! [X0] :
( ~ connection(out(n1,not1(h)),X0)
| value(X0,n1)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f391,f44]) ).
fof(f433,plain,
( spl0_55
<=> value(in(n1,and1(h)),n1) ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( value(in(n1,and1(h)),n1)
| ~ type(h,halfadder)
| ~ spl0_31 ),
inference(resolution,[status(thm)],[f361,f80]) ).
fof(f437,plain,
( spl0_55
| ~ spl0_2
| ~ spl0_31 ),
inference(split_clause,[status(thm)],[f436,f433,f102,f270]) ).
fof(f446,plain,
( spl0_58
<=> value(out(n1,and1(h)),n1) ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( value(out(n1,and1(h)),n1)
| ~ spl0_58 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f484,plain,
( spl0_64
<=> type(and1(h),and) ),
introduced(split_symbol_definition) ).
fof(f486,plain,
( ~ type(and1(h),and)
| spl0_64 ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f489,plain,
! [X0] :
( ~ value(out(n1,and1(h)),X0)
| equal_value(X0,n0)
| ~ spl0_27 ),
inference(resolution,[status(thm)],[f253,f48]) ).
fof(f492,plain,
( ~ type(h,halfadder)
| spl0_64 ),
inference(resolution,[status(thm)],[f486,f70]) ).
fof(f493,plain,
( ~ spl0_2
| spl0_64 ),
inference(split_clause,[status(thm)],[f492,f102,f484]) ).
fof(f509,plain,
( spl0_66
<=> value(in(n2,and1(h)),n1) ),
introduced(split_symbol_definition) ).
fof(f510,plain,
( value(in(n2,and1(h)),n1)
| ~ spl0_66 ),
inference(component_clause,[status(thm)],[f509]) ).
fof(f512,plain,
( value(in(n2,and1(h)),n1)
| ~ type(h,halfadder)
| ~ spl0_48 ),
inference(resolution,[status(thm)],[f432,f82]) ).
fof(f513,plain,
( spl0_66
| ~ spl0_2
| ~ spl0_48 ),
inference(split_clause,[status(thm)],[f512,f509,f102,f390]) ).
fof(f514,plain,
( ~ mode(and1(h),ok)
| ~ type(and1(h),and)
| ~ value(in(n1,and1(h)),n1)
| value(out(n1,and1(h)),n1)
| ~ spl0_66 ),
inference(resolution,[status(thm)],[f510,f56]) ).
fof(f515,plain,
( ~ spl0_3
| ~ spl0_64
| ~ spl0_55
| spl0_58
| ~ spl0_66 ),
inference(split_clause,[status(thm)],[f514,f105,f484,f433,f446,f509]) ).
fof(f545,plain,
( equal_value(n1,n0)
| ~ spl0_27
| ~ spl0_58 ),
inference(resolution,[status(thm)],[f489,f447]) ).
fof(f546,plain,
( $false
| ~ spl0_27
| ~ spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f50]) ).
fof(f547,plain,
( ~ spl0_27
| ~ spl0_58 ),
inference(contradiction_clause,[status(thm)],[f546]) ).
fof(f548,plain,
$false,
inference(sat_refutation,[status(thm)],[f109,f111,f116,f121,f144,f256,f258,f274,f324,f386,f394,f407,f437,f493,f513,f515,f547]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.25 % Problem : HWV005-1 : TPTP v8.1.2. Released v2.1.0.
% 0.09/0.26 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.48 % Computer : n027.cluster.edu
% 0.11/0.48 % Model : x86_64 x86_64
% 0.11/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.48 % Memory : 8042.1875MB
% 0.11/0.48 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.48 % CPULimit : 300
% 0.11/0.48 % WCLimit : 300
% 0.11/0.48 % DateTime : Tue Apr 30 01:35:47 EDT 2024
% 0.11/0.48 % CPUTime :
% 0.16/0.49 % Drodi V3.6.0
% 0.16/0.50 % Refutation found
% 0.16/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.52 % Elapsed time: 0.026826 seconds
% 0.16/0.52 % CPU time: 0.108099 seconds
% 0.16/0.52 % Total memory used: 6.759 MB
% 0.16/0.52 % Net memory used: 6.682 MB
%------------------------------------------------------------------------------