TSTP Solution File: PUZ003-1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 : Unsatisfiable 2.57s 1.48s
% Output : Refutation 2.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 15
% Syntax : Number of formulae : 24 ( 13 unt; 7 typ; 0 def)
% Number of atoms : 27 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 60 ( 12 ~; 10 |; 0 &; 38 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 8 ( 0 ^; 8 !; 0 ?; 8 :)
% Comments :
%------------------------------------------------------------------------------
thf(shaved_type,type,
shaved: $i > $i > $o ).
thf(petruchio_type,type,
petruchio: $i ).
thf(lorenzo_type,type,
lorenzo: $i ).
thf(member_type,type,
member: $i > $o ).
thf(members_type,type,
members: $i ).
thf(guido_type,type,
guido: $i ).
thf(cesare_type,type,
cesare: $i ).
thf(1,negated_conjecture,
~ ( shaved @ petruchio @ lorenzo ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_petruchio_has_shaved_lorenzo) ).
thf(9,plain,
~ ( shaved @ petruchio @ lorenzo ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(3,axiom,
! [B: $i,A: $i] :
( ~ ( shaved @ members @ A )
| ~ ( member @ B )
| ( shaved @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',all_shaved_then_one_shaved) ).
thf(13,plain,
! [B: $i,A: $i] :
( ~ ( shaved @ members @ A )
| ~ ( member @ B )
| ( shaved @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(6,axiom,
member @ petruchio,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',petruchio) ).
thf(17,plain,
member @ petruchio,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(7,axiom,
member @ cesare,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cesare) ).
thf(18,plain,
member @ cesare,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(5,axiom,
member @ lorenzo,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lorenzo) ).
thf(16,plain,
member @ lorenzo,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(2,axiom,
! [B: $i,A: $i] :
( ~ ( member @ A )
| ~ ( member @ B )
| ~ ( shaved @ A @ B )
| ( shaved @ members @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_shaved_then_all_shaved) ).
thf(11,plain,
! [B: $i,A: $i] :
( ~ ( member @ A )
| ~ ( member @ B )
| ~ ( shaved @ A @ B )
| ( shaved @ members @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,axiom,
shaved @ guido @ cesare,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guido_has_shaved_cesare) ).
thf(19,plain,
shaved @ guido @ cesare,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(4,axiom,
member @ guido,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',guido) ).
thf(15,plain,
member @ guido,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(20,plain,
$false,
inference(e,[status(thm)],[9,13,17,18,16,11,19,15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.14 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n010.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
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 18 19:48:58 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.93/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.94 % [INFO] Parsing done (105ms).
% 1.21/0.95 % [INFO] Running in sequential loop mode.
% 1.60/1.14 % [INFO] eprover registered as external prover.
% 1.60/1.14 % [INFO] cvc4 registered as external prover.
% 1.60/1.15 % [INFO] Scanning for conjecture ...
% 1.68/1.19 % [INFO] Found a conjecture and 7 axioms. Running axiom selection ...
% 1.68/1.21 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 1.68/1.21 % [INFO] Problem is propositional (TPTP CNF).
% 1.68/1.22 % [INFO] Type checking passed.
% 1.68/1.22 % [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 ...
% 2.57/1.48 % External prover 'e' found a proof!
% 2.57/1.48 % [INFO] Killing All external provers ...
% 2.57/1.48 % Time passed: 964ms (effective reasoning time: 528ms)
% 2.57/1.48 % 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)>
% 2.57/1.48 % Axioms used in derivation (7): one_shaved_then_all_shaved, petruchio, all_shaved_then_one_shaved, guido, lorenzo, guido_has_shaved_cesare, cesare
% 2.57/1.48 % No. of inferences in proof: 17
% 2.57/1.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 964 ms resp. 528 ms w/o parsing
% 2.57/1.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.57/1.50 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------