TSTP Solution File: MSC004-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : MSC004-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:21:30 EDT 2023
% Result : Unsatisfiable 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 7 unt; 0 def)
% Number of atoms : 79 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 38 ~; 38 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-5 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts] :
( in(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Mid_part)
| has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
| ~ has_parts(Big_part,Number_of_mid_parts,Mid_part) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [Big_part,Number_of_mid_parts,Number_of_small_parts,Small_part,Mid_part] :
( has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part)
| ~ has_parts(Big_part,Number_of_mid_parts,Mid_part)
| ~ has_parts(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Number_of_small_parts,Small_part) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,hypothesis,
in(john,boy),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X] :
( in(X,human)
| ~ in(X,boy) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,hypothesis,
! [X] :
( has_parts(X,n5,fingers)
| ~ in(X,hand) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,hypothesis,
! [X] :
( has_parts(X,n2,arm)
| ~ in(X,human) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,hypothesis,
! [X] :
( has_parts(X,n1,hand)
| ~ in(X,arm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ has_parts(john,times(times(n2,n1),n5),fingers),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [Big_part,Mid_part,Number_of_mid_parts] :
( ! [Small_part,Number_of_small_parts] :
( in(object_in(Big_part,Mid_part,Small_part,Number_of_mid_parts,Number_of_small_parts),Mid_part)
| has_parts(Big_part,times(Number_of_mid_parts,Number_of_small_parts),Small_part) )
| ~ has_parts(Big_part,Number_of_mid_parts,Mid_part) ),
inference(miniscoping,[status(esa)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( in(object_in(X0,X1,X2,X3,X4),X1)
| has_parts(X0,times(X3,X4),X2)
| ~ has_parts(X0,X3,X1) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4] :
( has_parts(X0,times(X1,X2),X3)
| ~ has_parts(X0,X1,X4)
| ~ has_parts(object_in(X0,X4,X3,X1,X2),X2,X3) ),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f12,plain,
in(john,boy),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f13,plain,
! [X0] :
( in(X0,human)
| ~ in(X0,boy) ),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f14,plain,
! [X0] :
( has_parts(X0,n5,fingers)
| ~ in(X0,hand) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f15,plain,
! [X0] :
( has_parts(X0,n2,arm)
| ~ in(X0,human) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f16,plain,
! [X0] :
( has_parts(X0,n1,hand)
| ~ in(X0,arm) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f17,plain,
~ has_parts(john,times(times(n2,n1),n5),fingers),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f18,plain,
! [X0] :
( ~ has_parts(john,times(n2,n1),X0)
| ~ has_parts(object_in(john,X0,fingers,times(n2,n1),n5),n5,fingers) ),
inference(resolution,[status(thm)],[f11,f17]) ).
fof(f19,plain,
! [X0] :
( ~ has_parts(john,times(n2,n1),X0)
| ~ in(object_in(john,X0,fingers,times(n2,n1),n5),hand) ),
inference(resolution,[status(thm)],[f18,f14]) ).
fof(f20,plain,
( spl0_0
<=> has_parts(john,times(n2,n1),hand) ),
introduced(split_symbol_definition) ).
fof(f22,plain,
( ~ has_parts(john,times(n2,n1),hand)
| spl0_0 ),
inference(component_clause,[status(thm)],[f20]) ).
fof(f23,plain,
( spl0_1
<=> has_parts(john,times(times(n2,n1),n5),fingers) ),
introduced(split_symbol_definition) ).
fof(f24,plain,
( has_parts(john,times(times(n2,n1),n5),fingers)
| ~ spl0_1 ),
inference(component_clause,[status(thm)],[f23]) ).
fof(f26,plain,
( ~ has_parts(john,times(n2,n1),hand)
| has_parts(john,times(times(n2,n1),n5),fingers)
| ~ has_parts(john,times(n2,n1),hand) ),
inference(resolution,[status(thm)],[f19,f10]) ).
fof(f27,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f26,f20,f23]) ).
fof(f28,plain,
! [X0] :
( ~ has_parts(john,n2,X0)
| ~ has_parts(object_in(john,X0,hand,n2,n1),n1,hand)
| spl0_0 ),
inference(resolution,[status(thm)],[f22,f11]) ).
fof(f29,plain,
! [X0] :
( ~ has_parts(john,n2,X0)
| ~ in(object_in(john,X0,hand,n2,n1),arm)
| spl0_0 ),
inference(resolution,[status(thm)],[f28,f16]) ).
fof(f30,plain,
( spl0_2
<=> has_parts(john,n2,arm) ),
introduced(split_symbol_definition) ).
fof(f32,plain,
( ~ has_parts(john,n2,arm)
| spl0_2 ),
inference(component_clause,[status(thm)],[f30]) ).
fof(f33,plain,
( ~ has_parts(john,n2,arm)
| has_parts(john,times(n2,n1),hand)
| ~ has_parts(john,n2,arm)
| spl0_0 ),
inference(resolution,[status(thm)],[f29,f10]) ).
fof(f34,plain,
( ~ spl0_2
| spl0_0 ),
inference(split_clause,[status(thm)],[f33,f30,f20]) ).
fof(f35,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f24,f17]) ).
fof(f36,plain,
~ spl0_1,
inference(contradiction_clause,[status(thm)],[f35]) ).
fof(f37,plain,
( ~ in(john,human)
| spl0_2 ),
inference(resolution,[status(thm)],[f32,f15]) ).
fof(f38,plain,
( ~ in(john,boy)
| spl0_2 ),
inference(resolution,[status(thm)],[f37,f13]) ).
fof(f39,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f38,f12]) ).
fof(f40,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f39]) ).
fof(f41,plain,
$false,
inference(sat_refutation,[status(thm)],[f27,f34,f36,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MSC004-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:49:34 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.14/0.36 % Refutation found
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57 % Elapsed time: 0.010360 seconds
% 0.20/0.57 % CPU time: 0.027303 seconds
% 0.20/0.57 % Memory used: 1.863 MB
%------------------------------------------------------------------------------