TSTP Solution File: PUZ035-7 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ035-7 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 11:47:31 EDT 2023
% Result : Unsatisfiable 2.96s 1.68s
% Output : Refutation 3.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 25
% Syntax : Number of formulae : 40 ( 1 unt; 11 typ; 0 def)
% Number of atoms : 69 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 248 ( 36 ~; 40 |; 0 &; 172 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(reply_type,type,
reply: $i > $i > $i > $o ).
thf(asked_type,type,
asked: $i ).
thf(or_type,type,
or: $i > $i > $i ).
thf(isa_type,type,
isa: $i > $i > $i ).
thf(knight_type,type,
knight: $i ).
thf(other_type,type,
other: $i ).
thf(truth_type,type,
truth: $i > $o ).
thf(knave_type,type,
knave: $i ).
thf(yes_type,type,
yes: $i ).
thf(no_type,type,
no: $i ).
thf(not_type,type,
not: $i > $i ).
thf(8,axiom,
! [B: $i,A: $i] :
( ( reply @ A @ B @ yes )
| ( reply @ A @ B @ no ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',yes_or_no) ).
thf(29,plain,
! [B: $i,A: $i] :
( ( reply @ A @ B @ yes )
| ( reply @ A @ B @ no ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(14,axiom,
! [B: $i,A: $i] :
( ( truth @ ( or @ A @ B ) )
| ~ ( truth @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or3) ).
thf(41,plain,
! [B: $i,A: $i] :
( ( truth @ ( or @ A @ B ) )
| ~ ( truth @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(2,axiom,
! [A: $i] :
( ( truth @ ( isa @ A @ knight ) )
| ( truth @ ( isa @ A @ knave ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).
thf(17,plain,
! [A: $i] :
( ( truth @ ( isa @ A @ knight ) )
| ( truth @ ( isa @ A @ knave ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,axiom,
! [B: $i,A: $i] :
( ( truth @ A )
| ( truth @ ( isa @ B @ knight ) )
| ( reply @ B @ A @ yes ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements4) ).
thf(27,plain,
! [B: $i,A: $i] :
( ( truth @ A )
| ( truth @ ( isa @ B @ knight ) )
| ( reply @ B @ A @ yes ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,axiom,
! [B: $i,A: $i] :
( ( truth @ ( or @ A @ B ) )
| ~ ( truth @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or2) ).
thf(39,plain,
! [B: $i,A: $i] :
( ( truth @ ( or @ A @ B ) )
| ~ ( truth @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(11,axiom,
! [A: $i] :
( ~ ( truth @ A )
| ~ ( truth @ ( not @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true2) ).
thf(35,plain,
! [A: $i] :
( ~ ( truth @ A )
| ~ ( truth @ ( not @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(9,axiom,
! [B: $i,A: $i] :
( ~ ( reply @ A @ B @ yes )
| ~ ( reply @ A @ B @ no ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_yes_and_no) ).
thf(31,plain,
! [B: $i,A: $i] :
( ~ ( reply @ A @ B @ yes )
| ~ ( reply @ A @ B @ no ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(5,axiom,
! [B: $i,A: $i] :
( ~ ( truth @ A )
| ( truth @ ( isa @ B @ knight ) )
| ~ ( reply @ B @ A @ yes ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements2) ).
thf(23,plain,
! [B: $i,A: $i] :
( ~ ( truth @ A )
| ( truth @ ( isa @ B @ knight ) )
| ~ ( reply @ B @ A @ yes ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(3,axiom,
! [A: $i] :
( ~ ( truth @ ( isa @ A @ knight ) )
| ~ ( truth @ ( isa @ A @ knave ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_both_a_knight_and_knave) ).
thf(19,plain,
! [A: $i] :
( ~ ( truth @ ( isa @ A @ knight ) )
| ~ ( truth @ ( isa @ A @ knave ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( reply @ asked @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) @ A )
| ~ ( truth @ ( isa @ asked @ B ) )
| ~ ( truth @ ( isa @ other @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_answer) ).
thf(15,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( reply @ asked @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) @ A )
| ~ ( truth @ ( isa @ asked @ B ) )
| ~ ( truth @ ( isa @ other @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ( truth @ A )
| ( truth @ B )
| ~ ( truth @ ( or @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1) ).
thf(37,plain,
! [B: $i,A: $i] :
( ( truth @ A )
| ( truth @ B )
| ~ ( truth @ ( or @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(6,axiom,
! [B: $i,A: $i] :
( ~ ( truth @ A )
| ~ ( truth @ ( isa @ B @ knight ) )
| ( reply @ B @ A @ yes ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements3) ).
thf(25,plain,
! [B: $i,A: $i] :
( ~ ( truth @ A )
| ~ ( truth @ ( isa @ B @ knight ) )
| ( reply @ B @ A @ yes ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ( truth @ A )
| ~ ( truth @ ( isa @ B @ knight ) )
| ~ ( reply @ B @ A @ yes ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements1) ).
thf(21,plain,
! [B: $i,A: $i] :
( ( truth @ A )
| ~ ( truth @ ( isa @ B @ knight ) )
| ~ ( reply @ B @ A @ yes ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
! [A: $i] :
( ( truth @ A )
| ( truth @ ( not @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',true1) ).
thf(33,plain,
! [A: $i] :
( ( truth @ A )
| ( truth @ ( not @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(46,plain,
$false,
inference(e,[status(thm)],[29,41,17,27,39,35,31,23,19,15,37,25,21,33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ035-7 : TPTP v8.1.2. Released v2.0.0.
% 0.03/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n019.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 19:56:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.96/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/1.02 % [INFO] Parsing done (125ms).
% 1.21/1.03 % [INFO] Running in sequential loop mode.
% 1.61/1.22 % [INFO] eprover registered as external prover.
% 1.74/1.23 % [INFO] cvc4 registered as external prover.
% 1.74/1.23 % [INFO] Scanning for conjecture ...
% 1.85/1.28 % [INFO] Found a conjecture and 13 axioms. Running axiom selection ...
% 1.85/1.31 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 1.85/1.32 % [INFO] Problem is propositional (TPTP CNF).
% 1.85/1.33 % [INFO] Type checking passed.
% 2.04/1.33 % [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 ...
% 2.96/1.68 % External prover 'e' found a proof!
% 2.96/1.68 % [INFO] Killing All external provers ...
% 2.96/1.68 % Time passed: 1159ms (effective reasoning time: 643ms)
% 2.96/1.68 % 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)>
% 2.96/1.68 % Axioms used in derivation (13): true2, knights_make_true_statements2, true1, yes_or_no, knights_make_true_statements3, or1, knights_make_true_statements4, knights_make_true_statements1, not_yes_and_no, everyone_a_knight_or_knave, or2, not_both_a_knight_and_knave, or3
% 2.96/1.68 % No. of inferences in proof: 29
% 2.96/1.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1159 ms resp. 643 ms w/o parsing
% 3.04/1.71 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.04/1.71 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------