TSTP Solution File: PUZ081_8 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ081_8 : TPTP v8.1.2. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% 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 : 300s
% DateTime : Fri May 19 11:47:39 EDT 2023
% Result : Theorem 2.59s 1.59s
% Output : Refutation 2.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of formulae : 19 ( 1 unt; 5 typ; 0 def)
% Number of atoms : 31 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 65 ( 10 ~; 1 |; 10 &; 38 @)
% ( 0 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 ^; 10 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(mel_type,type,
mel: $i ).
thf(zoey_type,type,
zoey: $i ).
thf(knight_type,type,
knight: $i > $o ).
thf(knave_type,type,
knave: $i > $o ).
thf(says_type,type,
says: $i > $o > $o ).
thf(6,axiom,
says @ zoey @ ( knave @ mel ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zoey_speaks) ).
thf(21,plain,
says @ zoey @ ( knave @ mel ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [A: $i,B: $o] :
( ( ( knight @ A )
& ( says @ A @ B ) )
=> B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_tell_truth) ).
thf(17,plain,
! [A: $i,B: $o] :
( ( ( knight @ A )
& ( says @ A @ B ) )
=> B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(7,axiom,
( says @ mel
@ ( ~ ( knave @ zoey )
& ~ ( knave @ mel ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mel_speaks) ).
thf(22,plain,
( says @ mel
@ ( ~ ( knave @ zoey )
& ~ ( knave @ mel ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(3,axiom,
! [A: $i] :
( ( knight @ A )
<~> ( knave @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knights_xor_knaves) ).
thf(11,plain,
! [A: $i] :
~ ( ( ( knight @ A )
=> ( knave @ A ) )
& ( ( knight @ A )
| ~ ( knave @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
? [A: $i,B: $i] :
( ( knight @ A )
& ( knave @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',who_is_knight_and_knave) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] :
( ( knight @ A )
& ( knave @ B ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(8,plain,
~ ? [A: $i,B: $i] :
( ( knight @ A )
& ( knave @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,axiom,
! [A: $i,B: $o] :
( ( ( knave @ A )
& ( says @ A @ B ) )
=> ~ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',knaves_lie) ).
thf(19,plain,
! [A: $i,B: $o] :
( ( ( knave @ A )
& ( says @ A @ B ) )
=> ~ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(23,plain,
$false,
inference(e,[status(thm)],[21,17,22,11,8,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ081_8 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n012.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 19:55:17 EDT 2023
% 0.16/0.37 % CPUTime :
% 1.00/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.14/0.98 % [INFO] Parsing done (116ms).
% 1.14/0.99 % [INFO] Running in sequential loop mode.
% 1.67/1.19 % [INFO] eprover registered as external prover.
% 1.67/1.19 % [INFO] cvc4 registered as external prover.
% 1.67/1.19 % [INFO] Scanning for conjecture ...
% 1.85/1.25 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.85/1.27 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.85/1.28 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.85/1.29 % [INFO] Type checking passed.
% 1.85/1.29 % [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 ...
% 2.59/1.59 % External prover 'e' found a proof!
% 2.59/1.59 % [INFO] Killing All external provers ...
% 2.59/1.59 % Time passed: 1062ms (effective reasoning time: 596ms)
% 2.59/1.59 % 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)>
% 2.59/1.59 % Axioms used in derivation (5): zoey_speaks, mel_speaks, knights_xor_knaves, knights_tell_truth, knaves_lie
% 2.59/1.59 % No. of inferences in proof: 14
% 2.59/1.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1062 ms resp. 596 ms w/o parsing
% 2.59/1.62 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.59/1.62 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------