TSTP Solution File: MSC004-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : MSC004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.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 22:59:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 7 unt; 2 nHn; 20 RR)
% Number of literals : 38 ( 0 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 14 con; 0-5 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ has_parts(u,v,w)
| in(object_in(u,w,x,v,y),w)
| has_parts(u,times(v,y),x) ),
file('MSC004-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ has_parts(u,v,w)
| ~ has_parts(object_in(u,w,x,v,y),y,x)
| has_parts(u,times(v,y),x) ),
file('MSC004-1.p',unknown),
[] ).
cnf(3,axiom,
in(john,boy),
file('MSC004-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ in(u,boy)
| in(u,human) ),
file('MSC004-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ in(u,hand)
| has_parts(u,n5,fingers) ),
file('MSC004-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ in(u,human)
| has_parts(u,n2,arm) ),
file('MSC004-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ in(u,arm)
| has_parts(u,n1,hand) ),
file('MSC004-1.p',unknown),
[] ).
cnf(8,axiom,
~ has_parts(john,times(times(n2,n1),n5),fingers),
file('MSC004-1.p',unknown),
[] ).
cnf(9,plain,
( ~ has_parts(john,times(n2,n1),u)
| ~ has_parts(object_in(john,u,fingers,times(n2,n1),n5),n5,fingers) ),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.2,8.0')] ).
cnf(10,plain,
( ~ has_parts(john,times(n2,n1),u)
| in(object_in(john,u,fingers,times(n2,n1),n5),u) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.2,8.0')] ).
cnf(11,plain,
in(john,human),
inference(res,[status(thm),theory(equality)],[3,4]),
[iquote('0:Res:3.0,4.0')] ).
cnf(14,plain,
( ~ in(object_in(john,u,fingers,times(n2,n1),n5),hand)
| ~ has_parts(john,times(n2,n1),u) ),
inference(res,[status(thm),theory(equality)],[5,9]),
[iquote('0:Res:5.1,9.1')] ).
cnf(15,plain,
( ~ has_parts(john,times(n2,n1),hand)
| ~ has_parts(john,times(n2,n1),hand) ),
inference(res,[status(thm),theory(equality)],[10,14]),
[iquote('0:Res:10.1,14.0')] ).
cnf(17,plain,
~ has_parts(john,times(n2,n1),hand),
inference(obv,[status(thm),theory(equality)],[15]),
[iquote('0:Obv:15.0')] ).
cnf(19,plain,
( ~ in(object_in(u,v,hand,w,n1),arm)
| ~ has_parts(u,w,v)
| has_parts(u,times(w,n1),hand) ),
inference(res,[status(thm),theory(equality)],[7,2]),
[iquote('0:Res:7.1,2.1')] ).
cnf(33,plain,
( ~ has_parts(u,v,arm)
| ~ has_parts(u,v,arm)
| has_parts(u,times(v,n1),hand)
| has_parts(u,times(v,n1),hand) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.1,19.0')] ).
cnf(34,plain,
( ~ has_parts(u,v,arm)
| has_parts(u,times(v,n1),hand) ),
inference(obv,[status(thm),theory(equality)],[33]),
[iquote('0:Obv:33.2')] ).
cnf(36,plain,
~ has_parts(john,n2,arm),
inference(res,[status(thm),theory(equality)],[34,17]),
[iquote('0:Res:34.1,17.0')] ).
cnf(38,plain,
~ in(john,human),
inference(res,[status(thm),theory(equality)],[6,36]),
[iquote('0:Res:6.1,36.0')] ).
cnf(39,plain,
$false,
inference(mrr,[status(thm)],[38,11]),
[iquote('0:MRR:38.0,11.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : MSC004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n020.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 16:12:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40
% 0.18/0.40 SPASS V 3.9
% 0.18/0.40 SPASS beiseite: Proof found.
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.40 SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 28 clauses.
% 0.18/0.40 SPASS allocated 63129 KBytes.
% 0.18/0.40 SPASS spent 0:00:00.06 on the problem.
% 0.18/0.40 0:00:00.03 for the input.
% 0.18/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40 0:00:00.00 for inferences.
% 0.18/0.40 0:00:00.00 for the backtracking.
% 0.18/0.40 0:00:00.00 for the reduction.
% 0.18/0.40
% 0.18/0.40
% 0.18/0.40 Here is a proof with depth 5, length 20 :
% 0.18/0.40 % SZS output start Refutation
% See solution above
% 0.18/0.40 Formulae used in the proof : not_part_inheritance part_inheritance john_is_a_boy in_boy_in_human hands_have_5_fingers humans_have_two_arms arms_have_one_hand prove_john_has_10_fingers
% 0.18/0.40
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