TSTP Solution File: MSC003-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : MSC003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 : Fri May 19 11:35:46 EDT 2023
% Result : Unsatisfiable 2.45s 1.50s
% Output : Refutation 2.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 21
% Syntax : Number of formulae : 30 ( 5 unt; 13 typ; 0 def)
% Number of atoms : 33 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 146 ( 16 ~; 16 |; 0 &; 114 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 13 usr; 10 con; 0-5 aty)
% Number of variables : 28 ( 0 ^; 28 !; 0 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(has_parts_type,type,
has_parts: $i > $i > $i > $o ).
thf(john_type,type,
john: $i ).
thf(times_type,type,
times: $i > $i > $i ).
thf(n2_type,type,
n2: $i ).
thf(n1_type,type,
n1: $i ).
thf(hand_type,type,
hand: $i ).
thf(in_type,type,
in: $i > $i > $o ).
thf(object_in_type,type,
object_in: $i > $i > $i > $i > $i > $i ).
thf(boy_type,type,
boy: $i ).
thf(human_type,type,
human: $i ).
thf(n5_type,type,
n5: $i ).
thf(fingers_type,type,
fingers: $i ).
thf(arm_type,type,
arm: $i ).
thf(7,axiom,
! [A: $i] :
( ( has_parts @ A @ n2 @ arm )
| ~ ( in @ A @ human ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',humans_have_two_arms) ).
thf(20,plain,
! [A: $i] :
( ( has_parts @ A @ n2 @ arm )
| ~ ( in @ A @ human ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(1,negated_conjecture,
~ ( has_parts @ john @ ( times @ n2 @ n1 ) @ hand ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_john_has_2_hands) ).
thf(9,plain,
~ ( has_parts @ john @ ( times @ n2 @ n1 ) @ hand ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( has_parts @ A @ ( times @ B @ C ) @ D )
| ~ ( has_parts @ A @ B @ E )
| ~ ( has_parts @ ( object_in @ A @ E @ D @ B @ C ) @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_inheritance) ).
thf(13,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( has_parts @ A @ ( times @ B @ C ) @ D )
| ~ ( has_parts @ A @ B @ E )
| ~ ( has_parts @ ( object_in @ A @ E @ D @ B @ C ) @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,axiom,
! [A: $i] :
( ( has_parts @ A @ n1 @ hand )
| ~ ( in @ A @ arm ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',arms_have_one_hand) ).
thf(22,plain,
! [A: $i] :
( ( has_parts @ A @ n1 @ hand )
| ~ ( in @ A @ arm ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(6,axiom,
! [A: $i] :
( ( has_parts @ A @ n5 @ fingers )
| ~ ( in @ A @ hand ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hands_have_5_fingers) ).
thf(18,plain,
! [A: $i] :
( ( has_parts @ A @ n5 @ fingers )
| ~ ( in @ A @ hand ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(5,axiom,
! [A: $i] :
( ( in @ A @ human )
| ~ ( in @ A @ boy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',in_boy_in_human) ).
thf(16,plain,
! [A: $i] :
( ( in @ A @ human )
| ~ ( in @ A @ boy ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( in @ ( object_in @ A @ B @ C @ D @ E ) @ B )
| ( has_parts @ A @ ( times @ D @ E ) @ C )
| ~ ( has_parts @ A @ D @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_part_inheritance) ).
thf(11,plain,
! [E: $i,D: $i,C: $i,B: $i,A: $i] :
( ( in @ ( object_in @ A @ B @ C @ D @ E ) @ B )
| ( has_parts @ A @ ( times @ D @ E ) @ C )
| ~ ( has_parts @ A @ D @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,axiom,
in @ john @ boy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',john_is_a_boy) ).
thf(15,plain,
in @ john @ boy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[20,9,13,22,18,16,11,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : MSC003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n003.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 15:18:46 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.98/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.24/0.96 % [INFO] Parsing done (103ms).
% 1.24/0.96 % [INFO] Running in sequential loop mode.
% 1.50/1.15 % [INFO] eprover registered as external prover.
% 1.50/1.15 % [INFO] cvc4 registered as external prover.
% 1.50/1.16 % [INFO] Scanning for conjecture ...
% 1.79/1.20 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.79/1.22 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.87/1.23 % [INFO] Problem is propositional (TPTP CNF).
% 1.87/1.23 % [INFO] Type checking passed.
% 1.87/1.24 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 2.45/1.49 % External prover 'e' found a proof!
% 2.45/1.49 % [INFO] Killing All external provers ...
% 2.45/1.50 % Time passed: 966ms (effective reasoning time: 527ms)
% 2.45/1.50 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 2.45/1.50 % Axioms used in derivation (7): in_boy_in_human, part_inheritance, not_part_inheritance, hands_have_5_fingers, humans_have_two_arms, arms_have_one_hand, john_is_a_boy
% 2.45/1.50 % No. of inferences in proof: 17
% 2.45/1.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 966 ms resp. 527 ms w/o parsing
% 2.45/1.52 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.45/1.52 % [INFO] Killing All external provers ...
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