TSTP Solution File: PUZ130+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 : Wed May 31 12:32:04 EDT 2023
% Result : Theorem 0.09s 0.30s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of formulae : 61 ( 19 unt; 0 def)
% Number of atoms : 133 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 128 ( 56 ~; 56 |; 3 &)
% ( 8 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 7 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 26 (; 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
cat(garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
dog(odie),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] :
( dog(A)
=> pet(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A] :
( cat(A)
=> pet(A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
human(jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
owner(jon,odie),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
owner(jon,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X,Y] :
( ( cat(X)
& dog(Y) )
=> ( chased(Y,X)
=> hates(owner_of(X),owner_of(Y)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X,Y] :
( ( human(X)
& pet(Y) )
=> ( owner(X,Y)
<=> X = owner_of(Y) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
~ hates(jon,jon),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f23,plain,
cat(garfield),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f26,plain,
dog(odie),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f29,plain,
! [A] :
( ~ dog(A)
| pet(A) ),
inference(pre_NNF_transformation,[status(esa)],[f6]) ).
fof(f30,plain,
! [X0] :
( ~ dog(X0)
| pet(X0) ),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f31,plain,
! [A] :
( ~ cat(A)
| pet(A) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f32,plain,
! [X0] :
( ~ cat(X0)
| pet(X0) ),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f35,plain,
human(jon),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f42,plain,
owner(jon,odie),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f43,plain,
owner(jon,garfield),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f54,plain,
! [X,Y] :
( ~ cat(X)
| ~ dog(Y)
| ~ chased(Y,X)
| hates(owner_of(X),owner_of(Y)) ),
inference(pre_NNF_transformation,[status(esa)],[f16]) ).
fof(f55,plain,
! [X0,X1] :
( ~ cat(X0)
| ~ dog(X1)
| ~ chased(X1,X0)
| hates(owner_of(X0),owner_of(X1)) ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f56,plain,
! [X,Y] :
( ~ human(X)
| ~ pet(Y)
| ( owner(X,Y)
<=> X = owner_of(Y) ) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f57,plain,
! [X,Y] :
( ~ human(X)
| ~ pet(Y)
| ( ( ~ owner(X,Y)
| X = owner_of(Y) )
& ( owner(X,Y)
| X != owner_of(Y) ) ) ),
inference(NNF_transformation,[status(esa)],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ~ human(X0)
| ~ pet(X1)
| ~ owner(X0,X1)
| X0 = owner_of(X1) ),
inference(cnf_transformation,[status(esa)],[f57]) ).
fof(f60,plain,
chased(odie,garfield),
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f61,plain,
~ hates(jon,jon),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f86,plain,
! [X0,X1] :
( ~ human(X0)
| ~ owner(X0,X1)
| X0 = owner_of(X1)
| ~ cat(X1) ),
inference(resolution,[status(thm)],[f58,f32]) ).
fof(f87,plain,
! [X0,X1] :
( ~ human(X0)
| ~ owner(X0,X1)
| X0 = owner_of(X1)
| ~ dog(X1) ),
inference(resolution,[status(thm)],[f58,f30]) ).
fof(f100,plain,
! [X0] :
( ~ human(X0)
| ~ owner(X0,garfield)
| X0 = owner_of(garfield) ),
inference(resolution,[status(thm)],[f86,f23]) ).
fof(f113,plain,
( spl0_12
<=> human(jon) ),
introduced(split_symbol_definition) ).
fof(f115,plain,
( ~ human(jon)
| spl0_12 ),
inference(component_clause,[status(thm)],[f113]) ).
fof(f116,plain,
( spl0_13
<=> jon = owner_of(garfield) ),
introduced(split_symbol_definition) ).
fof(f117,plain,
( jon = owner_of(garfield)
| ~ spl0_13 ),
inference(component_clause,[status(thm)],[f116]) ).
fof(f119,plain,
( ~ human(jon)
| jon = owner_of(garfield) ),
inference(resolution,[status(thm)],[f100,f43]) ).
fof(f120,plain,
( ~ spl0_12
| spl0_13 ),
inference(split_clause,[status(thm)],[f119,f113,f116]) ).
fof(f121,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f35]) ).
fof(f122,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f121]) ).
fof(f134,plain,
! [X0] :
( ~ human(X0)
| ~ owner(X0,odie)
| X0 = owner_of(odie) ),
inference(resolution,[status(thm)],[f87,f26]) ).
fof(f147,plain,
( spl0_20
<=> jon = owner_of(odie) ),
introduced(split_symbol_definition) ).
fof(f148,plain,
( jon = owner_of(odie)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f147]) ).
fof(f150,plain,
( ~ human(jon)
| jon = owner_of(odie) ),
inference(resolution,[status(thm)],[f134,f42]) ).
fof(f151,plain,
( ~ spl0_12
| spl0_20 ),
inference(split_clause,[status(thm)],[f150,f113,f147]) ).
fof(f170,plain,
( spl0_24
<=> cat(garfield) ),
introduced(split_symbol_definition) ).
fof(f172,plain,
( ~ cat(garfield)
| spl0_24 ),
inference(component_clause,[status(thm)],[f170]) ).
fof(f173,plain,
( spl0_25
<=> hates(owner_of(garfield),owner_of(odie)) ),
introduced(split_symbol_definition) ).
fof(f174,plain,
( hates(owner_of(garfield),owner_of(odie))
| ~ spl0_25 ),
inference(component_clause,[status(thm)],[f173]) ).
fof(f178,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f172,f23]) ).
fof(f179,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f178]) ).
fof(f264,plain,
( spl0_29
<=> dog(odie) ),
introduced(split_symbol_definition) ).
fof(f266,plain,
( ~ dog(odie)
| spl0_29 ),
inference(component_clause,[status(thm)],[f264]) ).
fof(f267,plain,
( ~ cat(garfield)
| ~ dog(odie)
| hates(owner_of(garfield),owner_of(odie)) ),
inference(resolution,[status(thm)],[f55,f60]) ).
fof(f268,plain,
( ~ spl0_24
| ~ spl0_29
| spl0_25 ),
inference(split_clause,[status(thm)],[f267,f170,f264,f173]) ).
fof(f269,plain,
( hates(jon,owner_of(odie))
| ~ spl0_13
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f117,f174]) ).
fof(f270,plain,
( hates(jon,jon)
| ~ spl0_20
| ~ spl0_13
| ~ spl0_25 ),
inference(forward_demodulation,[status(thm)],[f148,f269]) ).
fof(f271,plain,
( $false
| ~ spl0_20
| ~ spl0_13
| ~ spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f270,f61]) ).
fof(f272,plain,
( ~ spl0_20
| ~ spl0_13
| ~ spl0_25 ),
inference(contradiction_clause,[status(thm)],[f271]) ).
fof(f273,plain,
( $false
| spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f266,f26]) ).
fof(f274,plain,
spl0_29,
inference(contradiction_clause,[status(thm)],[f273]) ).
fof(f275,plain,
$false,
inference(sat_refutation,[status(thm)],[f120,f122,f151,f179,f268,f272,f274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08 % Problem : PUZ130+1 : TPTP v8.1.2. Released v4.1.0.
% 0.04/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.29 % Computer : n010.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue May 30 10:20:22 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % Drodi V3.5.1
% 0.09/0.30 % Refutation found
% 0.09/0.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.51 % Elapsed time: 0.010309 seconds
% 0.14/0.51 % CPU time: 0.012183 seconds
% 0.14/0.51 % Memory used: 2.950 MB
%------------------------------------------------------------------------------