TSTP Solution File: PUZ001+2 by Leo-III---1.7.7
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 11:47:22 EDT 2023
% Result : Theorem 3.37s 1.82s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 16
% Syntax : Number of formulae : 20 ( 4 unt; 14 typ; 0 def)
% Number of atoms : 66 ( 14 equ; 0 cnn)
% Maximal formula atoms : 37 ( 11 avg)
% Number of connectives : 224 ( 16 ~; 4 |; 40 &; 148 @)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 12 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 12 con; 0-4 aty)
% Number of variables : 59 ( 0 ^; 28 !; 31 ?; 59 :)
% Comments :
%------------------------------------------------------------------------------
thf(predicate2_type,type,
predicate2: $i > $i > $i > $i > $o ).
thf(kill_type,type,
kill: $i ).
thf('\'AuntAgatha\'_type',type,
'\'AuntAgatha\'': $i ).
thf(predicate1_type,type,
predicate1: $i > $i > $i > $o ).
thf(live_type,type,
live: $i ).
thf(modifier_pp_type,type,
modifier_pp: $i > $i > $i > $o ).
thf(in_type,type,
in: $i ).
thf('\'DreadburyMansion\'_type',type,
'\'DreadburyMansion\'': $i ).
thf('\'Butler\'_type',type,
'\'Butler\'': $i ).
thf('\'Charles\'_type',type,
'\'Charles\'': $i ).
thf(hate_type,type,
hate: $i ).
thf(property2_type,type,
property2: $i > $i > $i > $i > $o ).
thf(rich_type,type,
rich: $i ).
thf(comp_than_type,type,
comp_than: $i ).
thf(1,conjecture,
? [A: $i] : ( predicate2 @ A @ kill @ '\'AuntAgatha\'' @ '\'AuntAgatha\'' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove) ).
thf(2,negated_conjecture,
~ ? [A: $i] : ( predicate2 @ A @ kill @ '\'AuntAgatha\'' @ '\'AuntAgatha\'' ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ? [A: $i] : ( predicate2 @ A @ kill @ '\'AuntAgatha\'' @ '\'AuntAgatha\'' ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
? [A: $i,B: $i,C: $i] :
( $true
& ( predicate1 @ B @ live @ A )
& ( modifier_pp @ B @ in @ '\'DreadburyMansion\'' )
& ( predicate2 @ C @ kill @ A @ '\'AuntAgatha\'' )
& ! [D: $i,E: $i] :
( ( $true
& ( predicate1 @ E @ live @ D )
& ( modifier_pp @ E @ in @ '\'DreadburyMansion\'' ) )
=> ( ( D = '\'AuntAgatha\'' )
| ( D = '\'Butler\'' )
| ( D = '\'Charles\'' ) ) )
& ! [D: $i] :
( $true
=> ! [E: $i,F: $i] :
( ( $true
& ( predicate2 @ F @ kill @ D @ E ) )
=> ? [G: $i] : ( predicate2 @ G @ hate @ D @ E ) ) )
& ! [D: $i] :
( $true
=> ~ ? [E: $i,F: $i,G: $i] :
( $true
& ( predicate2 @ F @ kill @ D @ E )
& ( property2 @ G @ rich @ comp_than @ E )
& ( D = G ) ) )
& ! [D: $i,E: $i] :
( ( $true
& ( predicate2 @ E @ hate @ '\'AuntAgatha\'' @ D ) )
=> ~ ? [F: $i] : ( predicate2 @ F @ hate @ '\'Charles\'' @ D ) )
& ~ ? [D: $i] : ( predicate2 @ D @ hate @ '\'AuntAgatha\'' @ '\'Butler\'' )
& ! [D: $i] :
( ( $true
& ( D != '\'Butler\'' ) )
=> ? [E: $i] : ( predicate2 @ E @ hate @ '\'AuntAgatha\'' @ D ) )
& ! [D: $i] :
( ( $true
& ~ ? [E: $i] :
( ( property2 @ E @ rich @ comp_than @ '\'AuntAgatha\'' )
& ( D = E ) ) )
=> ? [E: $i] : ( predicate2 @ E @ hate @ '\'Butler\'' @ D ) )
& ! [D: $i,E: $i] :
( ( $true
& ( predicate2 @ E @ hate @ '\'AuntAgatha\'' @ D ) )
=> ? [F: $i] : ( predicate2 @ F @ hate @ '\'Butler\'' @ D ) )
& ! [D: $i] :
( $true
=> ~ ! [E: $i] :
( $true
=> ? [F: $i] : ( predicate2 @ F @ hate @ D @ E ) ) )
& ( '\'AuntAgatha\'' != '\'Butler\'' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',background) ).
thf(6,plain,
? [A: $i,B: $i,C: $i] :
( ( predicate1 @ B @ live @ A )
& ( modifier_pp @ B @ in @ '\'DreadburyMansion\'' )
& ( predicate2 @ C @ kill @ A @ '\'AuntAgatha\'' )
& ! [D: $i,E: $i] :
( ( ( predicate1 @ E @ live @ D )
& ( modifier_pp @ E @ in @ '\'DreadburyMansion\'' ) )
=> ( ( D = '\'AuntAgatha\'' )
| ( D = '\'Butler\'' )
| ( D = '\'Charles\'' ) ) )
& ! [D: $i,E: $i,F: $i] :
( ( predicate2 @ F @ kill @ D @ E )
=> ? [G: $i] : ( predicate2 @ G @ hate @ D @ E ) )
& ! [D: $i] :
~ ? [E: $i,F: $i,G: $i] :
( ( predicate2 @ F @ kill @ D @ E )
& ( property2 @ G @ rich @ comp_than @ E )
& ( D = G ) )
& ! [D: $i,E: $i] :
( ( predicate2 @ E @ hate @ '\'AuntAgatha\'' @ D )
=> ~ ? [F: $i] : ( predicate2 @ F @ hate @ '\'Charles\'' @ D ) )
& ~ ? [D: $i] : ( predicate2 @ D @ hate @ '\'AuntAgatha\'' @ '\'Butler\'' )
& ! [D: $i] :
( ( D != '\'Butler\'' )
=> ? [E: $i] : ( predicate2 @ E @ hate @ '\'AuntAgatha\'' @ D ) )
& ! [D: $i] :
( ~ ? [E: $i] :
( ( property2 @ E @ rich @ comp_than @ '\'AuntAgatha\'' )
& ( D = E ) )
=> ? [E: $i] : ( predicate2 @ E @ hate @ '\'Butler\'' @ D ) )
& ! [D: $i,E: $i] :
( ( predicate2 @ E @ hate @ '\'AuntAgatha\'' @ D )
=> ? [F: $i] : ( predicate2 @ F @ hate @ '\'Butler\'' @ D ) )
& ! [D: $i] :
~ ! [E: $i] :
? [F: $i] : ( predicate2 @ F @ hate @ D @ E )
& ( '\'AuntAgatha\'' != '\'Butler\'' ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(36,plain,
$false,
inference(e,[status(thm)],[4,6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ001+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n009.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 19:55:19 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.96/0.88 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.02 % [INFO] Parsing done (133ms).
% 1.23/1.03 % [INFO] Running in sequential loop mode.
% 1.61/1.22 % [INFO] eprover registered as external prover.
% 1.76/1.22 % [INFO] cvc4 registered as external prover.
% 1.76/1.23 % [INFO] Scanning for conjecture ...
% 1.86/1.28 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 1.86/1.30 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.08/1.34 % [INFO] Problem is first-order (TPTP FOF).
% 2.08/1.34 % [INFO] Type checking passed.
% 2.08/1.34 % [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 ...
% 3.37/1.81 % External prover 'e' found a proof!
% 3.37/1.81 % [INFO] Killing All external provers ...
% 3.37/1.81 % Time passed: 1302ms (effective reasoning time: 784ms)
% 3.37/1.81 % 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)>
% 3.37/1.82 % Axioms used in derivation (1): background
% 3.37/1.82 % No. of inferences in proof: 6
% 3.37/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1302 ms resp. 784 ms w/o parsing
% 3.46/1.87 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.46/1.87 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------