TSTP Solution File: PUZ003-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : PUZ003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 12:31:44 EDT 2023
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of formulae : 44 ( 17 unt; 0 def)
% Number of atoms : 87 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 81 ( 38 ~; 38 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( ~ member(X)
| ~ member(Y)
| ~ shaved(X,Y)
| shaved(members,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] :
( ~ shaved(members,X)
| ~ member(Y)
| shaved(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
member(guido),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
member(lorenzo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
member(petruchio),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
member(cesare),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
shaved(guido,cesare),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ shaved(petruchio,lorenzo),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X] :
( ! [Y] :
( ~ member(X)
| ~ member(Y)
| ~ shaved(X,Y) )
| shaved(members,X) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1] :
( ~ member(X0)
| ~ member(X1)
| ~ shaved(X0,X1)
| shaved(members,X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ~ shaved(members,X0)
| ~ member(X1)
| shaved(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
member(guido),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
member(lorenzo),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
member(petruchio),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
member(cesare),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
shaved(guido,cesare),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
~ shaved(petruchio,lorenzo),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
( spl0_0
<=> member(guido) ),
introduced(split_symbol_definition) ).
fof(f20,plain,
( ~ member(guido)
| spl0_0 ),
inference(component_clause,[status(thm)],[f18]) ).
fof(f21,plain,
( spl0_1
<=> member(cesare) ),
introduced(split_symbol_definition) ).
fof(f23,plain,
( ~ member(cesare)
| spl0_1 ),
inference(component_clause,[status(thm)],[f21]) ).
fof(f24,plain,
( spl0_2
<=> shaved(members,guido) ),
introduced(split_symbol_definition) ).
fof(f25,plain,
( shaved(members,guido)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f24]) ).
fof(f27,plain,
( ~ member(guido)
| ~ member(cesare)
| shaved(members,guido) ),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f28,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f27,f18,f21,f24]) ).
fof(f29,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f23,f15]) ).
fof(f30,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f29]) ).
fof(f31,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f20,f12]) ).
fof(f32,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f31]) ).
fof(f33,plain,
! [X0] :
( ~ member(X0)
| shaved(X0,guido)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f25,f11]) ).
fof(f45,plain,
( shaved(lorenzo,guido)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f33,f13]) ).
fof(f56,plain,
( spl0_7
<=> member(lorenzo) ),
introduced(split_symbol_definition) ).
fof(f58,plain,
( ~ member(lorenzo)
| spl0_7 ),
inference(component_clause,[status(thm)],[f56]) ).
fof(f59,plain,
( spl0_8
<=> shaved(members,lorenzo) ),
introduced(split_symbol_definition) ).
fof(f60,plain,
( shaved(members,lorenzo)
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f59]) ).
fof(f62,plain,
( ~ member(lorenzo)
| ~ member(guido)
| shaved(members,lorenzo)
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f45,f10]) ).
fof(f63,plain,
( ~ spl0_7
| ~ spl0_0
| spl0_8
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f62,f56,f18,f59,f24]) ).
fof(f64,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f58,f13]) ).
fof(f65,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f64]) ).
fof(f69,plain,
! [X0] :
( ~ member(X0)
| shaved(X0,lorenzo)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f60,f11]) ).
fof(f78,plain,
( shaved(petruchio,lorenzo)
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f69,f14]) ).
fof(f79,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f17]) ).
fof(f80,plain,
~ spl0_8,
inference(contradiction_clause,[status(thm)],[f79]) ).
fof(f81,plain,
$false,
inference(sat_refutation,[status(thm)],[f28,f30,f32,f63,f65,f80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:58:25 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57 % Elapsed time: 0.011032 seconds
% 0.20/0.57 % CPU time: 0.026842 seconds
% 0.20/0.57 % Memory used: 7.066 MB
%------------------------------------------------------------------------------