TSTP Solution File: PUZ007-1 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 11:47:23 EDT 2023
% Result : Unsatisfiable 3.01s 1.65s
% Output : Refutation 3.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 41
% Syntax : Number of formulae : 70 ( 9 unt; 13 typ; 0 def)
% Number of atoms : 119 ( 6 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 258 ( 58 ~; 62 |; 0 &; 138 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 13 usr; 5 con; 0-2 aty)
% Number of variables : 40 ( 0 ^; 40 !; 0 ?; 40 :)
% Comments :
%------------------------------------------------------------------------------
thf(from_mars_type,type,
from_mars: $i > $o ).
thf(b_type,type,
b: $i ).
thf(a_type,type,
a: $i ).
thf(from_venus_type,type,
from_venus: $i > $o ).
thf(liar_type,type,
liar: $i > $o ).
thf(says_type,type,
says: $i > $i > $o ).
thf(a_truth_type,type,
a_truth: $i > $o ).
thf(statement_by_type,type,
statement_by: $i > $i ).
thf(truthteller_type,type,
truthteller: $i > $o ).
thf(male_type,type,
male: $i > $o ).
thf(female_type,type,
female: $i > $o ).
thf(a_from_mars_type,type,
a_from_mars: $i ).
thf(a_has_lied_type,type,
a_has_lied: $i ).
thf(14,axiom,
( ~ ( female @ a )
| ( male @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex1) ).
thf(56,plain,
( ~ ( female @ a )
| ( male @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,axiom,
! [A: $i] :
( ( a_truth @ ( statement_by @ A ) )
| ( liar @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',false_statements_made_by_liars) ).
thf(37,plain,
! [A: $i] :
( ( a_truth @ ( statement_by @ A ) )
| ( liar @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(12,axiom,
! [B: $i,A: $i] :
( ~ ( truthteller @ A )
| ~ ( says @ A @ B )
| ( a_truth @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthtellers_make_true_statements) ).
thf(52,plain,
! [B: $i,A: $i] :
( ~ ( truthteller @ A )
| ~ ( says @ A @ B )
| ( a_truth @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(7,axiom,
! [A: $i] :
( ~ ( a_truth @ ( statement_by @ A ) )
| ( truthteller @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',true_statements_made_by_truthtellers) ).
thf(41,plain,
! [A: $i] :
( ~ ( a_truth @ ( statement_by @ A ) )
| ( truthteller @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(19,axiom,
( ( statement_by @ b )
= a_has_lied ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_states) ).
thf(64,plain,
( ( statement_by @ b )
= a_has_lied ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(16,axiom,
! [A: $i] :
( ~ ( from_mars @ A )
| ~ ( female @ A )
| ( liar @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_females_are_liars) ).
thf(59,plain,
! [A: $i] :
( ~ ( from_mars @ A )
| ~ ( female @ A )
| ( liar @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(13,axiom,
( ~ ( from_mars @ a )
| ( a_truth @ a_from_mars ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars1) ).
thf(54,plain,
( ~ ( from_mars @ a )
| ( a_truth @ a_from_mars ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(20,axiom,
( ~ ( a_truth @ a_from_mars )
| ~ ( a_truth @ ( statement_by @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars3) ).
thf(66,plain,
( ~ ( a_truth @ a_from_mars )
| ~ ( a_truth @ ( statement_by @ b ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(11,axiom,
! [A: $i] :
( ( truthteller @ A )
| ( liar @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truthteller_or_liar) ).
thf(50,plain,
! [A: $i] :
( ( truthteller @ A )
| ( liar @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(2,negated_conjecture,
( ( from_venus @ a )
| ( from_venus @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_venus) ).
thf(30,plain,
( ( from_venus @ a )
| ( from_venus @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(21,axiom,
! [A: $i] :
( ~ ( from_venus @ A )
| ~ ( male @ A )
| ( liar @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_males_are_liars) ).
thf(68,plain,
! [A: $i] :
( ~ ( from_venus @ A )
| ~ ( male @ A )
| ( liar @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(9,axiom,
! [A: $i] :
( ~ ( male @ A )
| ~ ( female @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_male_and_female) ).
thf(46,plain,
! [A: $i] :
( ~ ( male @ A )
| ~ ( female @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(26,axiom,
( ( a_truth @ a_from_mars )
| ( a_truth @ ( statement_by @ b ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',truth_of_bs_statement) ).
thf(78,plain,
( ( a_truth @ a_from_mars )
| ( a_truth @ ( statement_by @ b ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(1,negated_conjecture,
( ( from_mars @ b )
| ( from_mars @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',one_from_mars) ).
thf(29,plain,
( ( from_mars @ b )
| ( from_mars @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(17,axiom,
! [A: $i] :
( ~ ( from_venus @ A )
| ~ ( female @ A )
| ( truthteller @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',venusian_female_are_truthtellers) ).
thf(61,plain,
! [A: $i] :
( ~ ( from_venus @ A )
| ~ ( female @ A )
| ( truthteller @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(24,axiom,
! [A: $i] :
( ~ ( from_mars @ A )
| ~ ( from_venus @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_from_mars_and_venus) ).
thf(74,plain,
! [A: $i] :
( ~ ( from_mars @ A )
| ~ ( from_venus @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(22,axiom,
( ( from_mars @ a )
| ~ ( a_truth @ a_from_mars ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_from_mars2) ).
thf(70,plain,
( ( from_mars @ a )
| ~ ( a_truth @ a_from_mars ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( liar @ A )
| ~ ( says @ A @ B )
| ~ ( a_truth @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',liars_make_false_statements) ).
thf(33,plain,
! [B: $i,A: $i] :
( ~ ( liar @ A )
| ~ ( says @ A @ B )
| ~ ( a_truth @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(25,axiom,
! [A: $i] :
( ~ ( from_mars @ A )
| ~ ( male @ A )
| ( truthteller @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',marsian_males_are_truthtellers) ).
thf(76,plain,
! [A: $i] :
( ~ ( from_mars @ A )
| ~ ( male @ A )
| ( truthteller @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,axiom,
! [A: $i] :
( ~ ( truthteller @ A )
| ~ ( liar @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_truthteller_and_liar) ).
thf(39,plain,
! [A: $i] :
( ~ ( truthteller @ A )
| ~ ( liar @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(27,axiom,
( ~ ( male @ a )
| ( female @ b ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_sex2) ).
thf(80,plain,
( ~ ( male @ a )
| ( female @ b ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,axiom,
! [B: $i,A: $i] :
( ~ ( says @ A @ B )
| ( a_truth @ B )
| ~ ( a_truth @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',statements_are_true_or_not) ).
thf(35,plain,
! [B: $i,A: $i] :
( ~ ( says @ A @ B )
| ( a_truth @ B )
| ~ ( a_truth @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(10,axiom,
! [A: $i] :
( ( male @ A )
| ( female @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',male_or_female) ).
thf(48,plain,
! [A: $i] :
( ( male @ A )
| ( female @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(18,axiom,
says @ a @ a_from_mars,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_says_hes_from_mars) ).
thf(63,plain,
says @ a @ a_from_mars,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(23,axiom,
( ( statement_by @ a )
= a_from_mars ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_states) ).
thf(72,plain,
( ( statement_by @ a )
= a_from_mars ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,axiom,
! [B: $i,A: $i] :
( ~ ( says @ A @ B )
| ( B
= ( statement_by @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',people_say_their_statements) ).
thf(43,plain,
! [B: $i,A: $i] :
( ~ ( says @ A @ B )
| ( B
= ( statement_by @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,axiom,
says @ b @ a_has_lied,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_says_a_lies) ).
thf(58,plain,
says @ b @ a_has_lied,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(28,axiom,
! [A: $i] :
( ( from_mars @ A )
| ( from_venus @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',from_mars_or_venus) ).
thf(82,plain,
! [A: $i] :
( ( from_mars @ A )
| ( from_venus @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(84,plain,
$false,
inference(e,[status(thm)],[56,37,52,41,64,59,54,66,50,30,68,46,78,29,61,74,70,33,76,39,80,35,48,63,72,43,58,82]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n004.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 19:51:40 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.84/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.28/0.95 % [INFO] Parsing done (117ms).
% 1.28/0.96 % [INFO] Running in sequential loop mode.
% 1.57/1.15 % [INFO] eprover registered as external prover.
% 1.57/1.15 % [INFO] cvc4 registered as external prover.
% 1.57/1.15 % [INFO] Scanning for conjecture ...
% 1.86/1.21 % [INFO] Found a conjecture and 26 axioms. Running axiom selection ...
% 1.93/1.24 % [INFO] Axiom selection finished. Selected 26 axioms (removed 0 axioms).
% 1.93/1.27 % [INFO] Problem is propositional (TPTP CNF).
% 1.93/1.27 % [INFO] Type checking passed.
% 1.93/1.27 % [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 ...
% 3.01/1.65 % External prover 'e' found a proof!
% 3.01/1.65 % [INFO] Killing All external provers ...
% 3.01/1.65 % Time passed: 1139ms (effective reasoning time: 691ms)
% 3.01/1.65 % 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)>
% 3.01/1.65 % Axioms used in derivation (26): false_statements_made_by_liars, venusian_males_are_liars, a_from_mars2, male_or_female, venusian_female_are_truthtellers, not_from_mars_and_venus, marsian_males_are_truthtellers, marsian_females_are_liars, statements_are_true_or_not, a_from_mars3, true_statements_made_by_truthtellers, not_truthteller_and_liar, b_says_a_lies, liars_make_false_statements, from_mars_or_venus, a_states, a_from_mars1, people_say_their_statements, truthteller_or_liar, not_male_and_female, b_states, different_sex1, truthtellers_make_true_statements, a_says_hes_from_mars, different_sex2, truth_of_bs_statement
% 3.01/1.65 % No. of inferences in proof: 57
% 3.01/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1139 ms resp. 691 ms w/o parsing
% 3.34/1.74 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.34/1.74 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------