TSTP Solution File: PUZ008-1 by Leo-III---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.10
% Problem : PUZ008-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 : Tue May 7 08:03:28 EDT 2024
% Result : Unsatisfiable 3.53s 2.06s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 25
% Syntax : Number of formulae : 42 ( 13 unt; 9 typ; 0 def)
% Number of atoms : 53 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 714 ( 22 ~; 20 |; 0 &; 672 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 114 ( 0 ^ 114 !; 0 ?; 114 :)
% Comments :
%------------------------------------------------------------------------------
thf(achievable_type,type,
achievable: $i > $i > $i > $o ).
thf(west_type,type,
west: $i > $i > $i ).
thf(m_type,type,
m: $i > $i ).
thf(n0_type,type,
n0: $i ).
thf(c_type,type,
c: $i > $i ).
thf(east_type,type,
east: $i > $i > $i ).
thf(s_type,type,
s: $i > $i ).
thf(boatonwest_type,type,
boatonwest: $i ).
thf(boatoneast_type,type,
boatoneast: $i ).
thf(15,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ A @ B ) @ C @ ( east @ ( m @ ( s @ D ) ) @ ( c @ ( s @ ( s @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extra_cannibal_meal_on_east_bank) ).
thf(41,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ A @ B ) @ C @ ( east @ ( m @ ( s @ D ) ) @ ( c @ ( s @ ( s @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(4,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_west_to_east) ).
thf(22,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ ( s @ B ) ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ ( s @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_cannibals_west_to_east) ).
thf(42,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ ( s @ B ) ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ ( s @ D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(5,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ ( s @ D ) ) ) )
| ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_and_cannibal_east_to_west) ).
thf(24,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ ( s @ D ) ) ) )
| ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ A @ B ) @ C @ ( east @ ( m @ ( s @ D ) ) @ ( c @ ( s @ ( s @ ( s @ D ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_extra_cannibals_meal_on_east_bank) ).
thf(21,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ A @ B ) @ C @ ( east @ ( m @ ( s @ D ) ) @ ( c @ ( s @ ( s @ ( s @ D ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,axiom,
achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_on_west_bank) ).
thf(33,plain,
achievable @ ( west @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) @ boatonwest @ ( east @ ( m @ n0 ) @ ( c @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(7,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ C ) ) ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ A ) ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_missionaries_east_to_west) ).
thf(28,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ C ) ) ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ ( s @ ( s @ A ) ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_east_to_west) ).
thf(38,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,negated_conjecture,
! [A: $i] :
~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ A @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_can_get_to_east_bank) ).
thf(17,plain,
! [A: $i] :
~ ( achievable @ ( west @ ( m @ n0 ) @ ( c @ n0 ) ) @ A @ ( east @ ( m @ ( s @ ( s @ ( s @ n0 ) ) ) ) @ ( c @ ( s @ ( s @ ( s @ n0 ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(9,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ ( s @ A ) ) ) ) @ B @ ( east @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',extra_cannibal_meal_on_west_bank) ).
thf(32,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ ( s @ A ) ) ) ) @ B @ ( east @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(11,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ A ) ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ C ) ) ) @ ( c @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_missionaries_west_to_east) ).
thf(34,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ ( s @ A ) ) ) @ ( c @ B ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ ( s @ C ) ) ) @ ( c @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(14,axiom,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ ( s @ ( s @ A ) ) ) ) ) @ B @ ( east @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_extra_cannibals_meal_on_west_bank) ).
thf(40,plain,
! [D: $i,C: $i,B: $i,A: $i] : ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ ( s @ ( s @ A ) ) ) ) ) @ B @ ( east @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(6,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ D ) ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cannibal_east_to_west) ).
thf(26,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ D ) ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(12,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ ( s @ D ) ) ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ ( s @ B ) ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',two_cannibals_east_to_west) ).
thf(36,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ ( s @ D ) ) ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ ( s @ B ) ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(8,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cannibal_west_to_east) ).
thf(30,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ A ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ C ) @ ( c @ ( s @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(2,axiom,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ ( s @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',missionary_and_cannibal_west_to_east) ).
thf(19,plain,
! [D: $i,C: $i,B: $i,A: $i] :
( ~ ( achievable @ ( west @ ( m @ ( s @ A ) ) @ ( c @ ( s @ B ) ) ) @ boatonwest @ ( east @ ( m @ C ) @ ( c @ D ) ) )
| ( achievable @ ( west @ ( m @ A ) @ ( c @ B ) ) @ boatoneast @ ( east @ ( m @ ( s @ C ) ) @ ( c @ ( s @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(44,plain,
$false,
inference(e,[status(thm)],[41,22,42,24,21,33,28,38,17,32,34,40,26,36,30,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : PUZ008-1 : TPTP v8.1.2. Released v1.0.0.
% 0.16/0.17 % Command : run_Leo-III %s %d
% 0.18/0.39 % Computer : n026.cluster.edu
% 0.18/0.39 % Model : x86_64 x86_64
% 0.18/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.39 % Memory : 8042.1875MB
% 0.18/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.39 % CPULimit : 300
% 0.18/0.39 % WCLimit : 300
% 0.18/0.39 % DateTime : Mon May 6 13:45:09 EDT 2024
% 0.18/0.39 % CPUTime :
% 1.06/0.95 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.13 % [INFO] Parsing done (187ms).
% 1.28/1.15 % [INFO] Running in sequential loop mode.
% 1.79/1.43 % [INFO] eprover registered as external prover.
% 1.79/1.43 % [INFO] cvc4 registered as external prover.
% 1.79/1.43 % [INFO] Scanning for conjecture ...
% 2.11/1.51 % [INFO] Found a conjecture and 15 axioms. Running axiom selection ...
% 2.23/1.56 % [INFO] Axiom selection finished. Selected 15 axioms (removed 0 axioms).
% 2.23/1.60 % [INFO] Problem is propositional (TPTP CNF).
% 2.23/1.60 % [INFO] Type checking passed.
% 2.23/1.61 % [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 ...
% 3.25/2.06 % External prover 'e' found a proof!
% 3.25/2.06 % [INFO] Killing All external provers ...
% 3.25/2.06 % Time passed: 1495ms (effective reasoning time: 909ms)
% 3.25/2.06 % 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)>
% 3.25/2.06 % Axioms used in derivation (15): cannibal_west_to_east, two_extra_cannibals_meal_on_west_bank, two_cannibals_west_to_east, cannibal_east_to_west, extra_cannibal_meal_on_east_bank, missionary_and_cannibal_east_to_west, missionary_east_to_west, missionary_west_to_east, two_missionaries_east_to_west, two_missionaries_west_to_east, two_extra_cannibals_meal_on_east_bank, extra_cannibal_meal_on_west_bank, two_cannibals_east_to_west, start_on_west_bank, missionary_and_cannibal_west_to_east
% 3.25/2.06 % No. of inferences in proof: 33
% 3.53/2.06 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1495 ms resp. 909 ms w/o parsing
% 3.74/2.18 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.74/2.18 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------