TSTP Solution File: SET043-5 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SET043-5 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n001.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 11:52:08 EDT 2023
% Result : Unsatisfiable 2.49s 1.51s
% Output : Refutation 2.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 9 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 24 ( 4 ~; 4 |; 0 &; 16 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 0 ^; 4 !; 0 ?; 4 :)
% Comments :
%------------------------------------------------------------------------------
thf(element_type,type,
element: $i > $i > $o ).
thf(a_type,type,
a: $i ).
thf(1,negated_conjecture,
! [A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ A ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
thf(3,plain,
! [A: $i] :
( ~ ( element @ A @ a )
| ~ ( element @ A @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).
thf(2,negated_conjecture,
! [A: $i] :
( ( element @ A @ A )
| ( element @ A @ a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
thf(4,plain,
! [A: $i] :
( ( element @ A @ A )
| ( element @ A @ a ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
$false,
inference(e,[status(thm)],[3,4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET043-5 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.35 % Computer : n001.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 18 19:50:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.96/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.16/0.98 % [INFO] Parsing done (112ms).
% 1.16/0.99 % [INFO] Running in sequential loop mode.
% 1.63/1.19 % [INFO] eprover registered as external prover.
% 1.63/1.19 % [INFO] cvc4 registered as external prover.
% 1.71/1.20 % [INFO] Scanning for conjecture ...
% 1.80/1.24 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.80/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.80/1.26 % [INFO] Problem is propositional (TPTP CNF).
% 1.80/1.26 % [INFO] Type checking passed.
% 1.80/1.26 % [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 ...
% 2.49/1.51 % External prover 'e' found a proof!
% 2.49/1.51 % [INFO] Killing All external provers ...
% 2.49/1.51 % Time passed: 999ms (effective reasoning time: 519ms)
% 2.49/1.51 % 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)>
% 2.49/1.51 % Axioms used in derivation (0):
% 2.49/1.51 % No. of inferences in proof: 5
% 2.49/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 999 ms resp. 519 ms w/o parsing
% 2.56/1.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.56/1.53 % [INFO] Killing All external provers ...
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