TSTP Solution File: MSC003-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : MSC003-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : 600s
% DateTime : Sun Jul 17 22:51:26 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of clauses : 21 ( 6 unt; 6 nHn; 16 RR)
% Number of literals : 40 ( 0 equ; 14 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-5 aty)
% Number of variables : 23 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_part_inheritance,axiom,
( 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) ) ).
cnf(part_inheritance,axiom,
( 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) ) ).
cnf(john_is_a_boy,hypothesis,
in(john,boy) ).
cnf(in_boy_in_human,hypothesis,
( in(X,human)
| ~ in(X,boy) ) ).
cnf(humans_have_two_arms,hypothesis,
( has_parts(X,n2,arm)
| ~ in(X,human) ) ).
cnf(arms_have_one_hand,hypothesis,
( has_parts(X,n1,hand)
| ~ in(X,arm) ) ).
cnf(prove_john_has_2_hands,negated_conjecture,
~ has_parts(john,times(n2,n1),hand) ).
cnf(refute_0_0,plain,
( ~ in(object_in(john,arm,X_10,n2,X_9),arm)
| has_parts(object_in(john,arm,X_10,n2,X_9),n1,hand) ),
inference(subst,[],[arms_have_one_hand:[bind(X,$fot(object_in(john,arm,X_10,n2,X_9)))]]) ).
cnf(refute_0_1,plain,
( ~ in(john,boy)
| in(john,human) ),
inference(subst,[],[in_boy_in_human:[bind(X,$fot(john))]]) ).
cnf(refute_0_2,plain,
in(john,human),
inference(resolve,[$cnf( in(john,boy) )],[john_is_a_boy,refute_0_1]) ).
cnf(refute_0_3,plain,
( ~ in(john,human)
| has_parts(john,n2,arm) ),
inference(subst,[],[humans_have_two_arms:[bind(X,$fot(john))]]) ).
cnf(refute_0_4,plain,
has_parts(john,n2,arm),
inference(resolve,[$cnf( in(john,human) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
( ~ has_parts(john,n2,arm)
| has_parts(john,times(n2,X_7),X_8)
| in(object_in(john,arm,X_8,n2,X_7),arm) ),
inference(subst,[],[not_part_inheritance:[bind(Big_part,$fot(john)),bind(Mid_part,$fot(arm)),bind(Number_of_mid_parts,$fot(n2)),bind(Number_of_small_parts,$fot(X_7)),bind(Small_part,$fot(X_8))]]) ).
cnf(refute_0_6,plain,
( has_parts(john,times(n2,X_7),X_8)
| in(object_in(john,arm,X_8,n2,X_7),arm) ),
inference(resolve,[$cnf( has_parts(john,n2,arm) )],[refute_0_4,refute_0_5]) ).
cnf(refute_0_7,plain,
( has_parts(john,times(n2,X_9),X_10)
| in(object_in(john,arm,X_10,n2,X_9),arm) ),
inference(subst,[],[refute_0_6:[bind(X_7,$fot(X_9)),bind(X_8,$fot(X_10))]]) ).
cnf(refute_0_8,plain,
( has_parts(john,times(n2,X_9),X_10)
| has_parts(object_in(john,arm,X_10,n2,X_9),n1,hand) ),
inference(resolve,[$cnf( in(object_in(john,arm,X_10,n2,X_9),arm) )],[refute_0_7,refute_0_0]) ).
cnf(refute_0_9,plain,
( has_parts(john,times(n2,n1),hand)
| has_parts(object_in(john,arm,hand,n2,n1),n1,hand) ),
inference(subst,[],[refute_0_8:[bind(X_10,$fot(hand)),bind(X_9,$fot(n1))]]) ).
cnf(refute_0_10,plain,
( ~ has_parts(john,n2,arm)
| ~ has_parts(object_in(john,arm,hand,n2,n1),n1,hand)
| has_parts(john,times(n2,n1),hand) ),
inference(subst,[],[part_inheritance:[bind(Big_part,$fot(john)),bind(Mid_part,$fot(arm)),bind(Number_of_mid_parts,$fot(n2)),bind(Number_of_small_parts,$fot(n1)),bind(Small_part,$fot(hand))]]) ).
cnf(refute_0_11,plain,
( ~ has_parts(john,n2,arm)
| has_parts(john,times(n2,n1),hand) ),
inference(resolve,[$cnf( has_parts(object_in(john,arm,hand,n2,n1),n1,hand) )],[refute_0_9,refute_0_10]) ).
cnf(refute_0_12,plain,
has_parts(john,times(n2,n1),hand),
inference(resolve,[$cnf( has_parts(john,n2,arm) )],[refute_0_4,refute_0_11]) ).
cnf(refute_0_13,plain,
$false,
inference(resolve,[$cnf( has_parts(john,times(n2,n1),hand) )],[refute_0_12,prove_john_has_2_hands]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : MSC003-1 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n012.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 1 15:14:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.35
%------------------------------------------------------------------------------