TSTP Solution File: PUZ028-5 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ028-5 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 11:47:27 EDT 2023
% Result : Unsatisfiable 2.70s 1.79s
% Output : Refutation 2.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 25
% Syntax : Number of formulae : 41 ( 23 unt; 10 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 126 ( 22 ~; 20 |; 0 &; 84 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(familiar_type,type,
familiar: $i > $i > $o ).
thf(not_familiar_type,type,
not_familiar: $i > $i > $o ).
thf(person_type,type,
person: $i > $o ).
thf(one_type,type,
one: $i ).
thf(two_type,type,
two: $i ).
thf(three_type,type,
three: $i ).
thf(four_type,type,
four: $i ).
thf(five_type,type,
five: $i ).
thf(six_type,type,
six: $i ).
thf(after_type,type,
after: $i > $i > $o ).
thf(2,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( not_familiar @ A @ B )
| ~ ( not_familiar @ B @ C )
| ~ ( not_familiar @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_not_familiar) ).
thf(17,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( not_familiar @ A @ B )
| ~ ( not_familiar @ B @ C )
| ~ ( not_familiar @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(13,axiom,
after @ five @ six,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order5) ).
thf(30,plain,
after @ five @ six,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(7,axiom,
person @ five,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person5) ).
thf(24,plain,
person @ five,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(8,axiom,
person @ six,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person6) ).
thf(25,plain,
person @ six,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(3,axiom,
person @ one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person1) ).
thf(20,plain,
person @ one,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,axiom,
after @ four @ five,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order4) ).
thf(29,plain,
after @ four @ five,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(11,axiom,
after @ three @ four,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order3) ).
thf(28,plain,
after @ three @ four,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(4,axiom,
person @ two,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person2) ).
thf(21,plain,
person @ two,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(15,axiom,
! [B: $i,A: $i] :
( ( familiar @ A @ B )
| ( not_familiar @ A @ B )
| ~ ( person @ A )
| ~ ( person @ B )
| ~ ( after @ A @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',familiar_or_not) ).
thf(33,plain,
! [B: $i,A: $i] :
( ( familiar @ A @ B )
| ( not_familiar @ A @ B )
| ~ ( person @ A )
| ~ ( person @ B )
| ~ ( after @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(5,axiom,
person @ three,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person3) ).
thf(22,plain,
person @ three,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
after @ two @ three,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order2) ).
thf(27,plain,
after @ two @ three,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(1,negated_conjecture,
! [C: $i,B: $i,A: $i] :
( ~ ( familiar @ A @ B )
| ~ ( familiar @ B @ C )
| ~ ( familiar @ A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_familiar) ).
thf(16,plain,
! [C: $i,B: $i,A: $i] :
( ~ ( familiar @ A @ B )
| ~ ( familiar @ B @ C )
| ~ ( familiar @ A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(14,axiom,
! [C: $i,B: $i,A: $i] :
( ( after @ A @ B )
| ~ ( after @ A @ C )
| ~ ( after @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order) ).
thf(31,plain,
! [C: $i,B: $i,A: $i] :
( ( after @ A @ B )
| ~ ( after @ A @ C )
| ~ ( after @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(9,axiom,
after @ one @ two,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',order1) ).
thf(26,plain,
after @ one @ two,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(6,axiom,
person @ four,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',person4) ).
thf(23,plain,
person @ four,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(35,plain,
$false,
inference(e,[status(thm)],[17,30,24,25,20,29,28,21,33,22,27,16,31,26,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : PUZ028-5 : TPTP v8.1.2. Released v2.0.0.
% 0.08/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n015.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Thu May 18 20:09:53 EDT 2023
% 0.17/0.38 % CPUTime :
% 0.97/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.07 % [INFO] Parsing done (164ms).
% 1.38/1.08 % [INFO] Running in sequential loop mode.
% 1.82/1.37 % [INFO] eprover registered as external prover.
% 1.82/1.37 % [INFO] cvc4 registered as external prover.
% 1.82/1.37 % [INFO] Scanning for conjecture ...
% 1.82/1.43 % [INFO] Found a conjecture and 13 axioms. Running axiom selection ...
% 2.01/1.46 % [INFO] Axiom selection finished. Selected 13 axioms (removed 0 axioms).
% 2.01/1.47 % [INFO] Problem is propositional (TPTP CNF).
% 2.01/1.47 % [INFO] Type checking passed.
% 2.01/1.47 % [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 ...
% 2.70/1.79 % External prover 'e' found a proof!
% 2.70/1.79 % [INFO] Killing All external provers ...
% 2.70/1.79 % Time passed: 1233ms (effective reasoning time: 704ms)
% 2.70/1.79 % 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)>
% 2.70/1.79 % Axioms used in derivation (13): person2, order2, person3, transitivity_of_order, familiar_or_not, order5, order1, person4, order4, order3, person5, person1, person6
% 2.70/1.79 % No. of inferences in proof: 31
% 2.70/1.79 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1233 ms resp. 704 ms w/o parsing
% 2.85/1.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.85/1.83 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------