TSTP Solution File: SYO349_8 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO349_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 : Tue May 21 08:56:28 EDT 2024
% Result : Theorem 2.21s 1.43s
% Output : Refutation 2.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 30 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 33 ( 14 ~; 9 |; 0 &; 10 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(cB_type,type,
cB: $o ).
thf(cP_type,type,
cP: $o > $o ).
thf(cA_type,type,
cA: $o ).
thf(1,conjecture,
( ~ cA
| ~ cB
| ~ ( cP @ cA )
| ( cP @ cB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM617) ).
thf(2,negated_conjecture,
~ ( ~ cA
| ~ cB
| ~ ( cP @ cA )
| ( cP @ cB ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ~ cA
| ~ cB
| ~ ( cP @ cA )
| ( cP @ cB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( cP @ cB ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
cB,
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
~ ( cP @ $true ),
inference(rewrite,[status(thm)],[4,6]) ).
thf(5,plain,
cP @ cA,
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
cA,
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
cP @ $true,
inference(rewrite,[status(thm)],[5,7]) ).
thf(10,plain,
~ $true,
inference(rewrite,[status(thm)],[8,9]) ).
thf(11,plain,
$false,
inference(simp,[status(thm)],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO349_8 : TPTP v8.2.0. Released v8.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 09:45:39 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.96/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.94 % [INFO] Parsing done (86ms).
% 1.22/0.95 % [INFO] Running in sequential loop mode.
% 1.47/1.14 % [INFO] eprover registered as external prover.
% 1.47/1.14 % [INFO] cvc4 registered as external prover.
% 1.47/1.15 % [INFO] Scanning for conjecture ...
% 1.67/1.19 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.75/1.21 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.75/1.21 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.75/1.21 % [INFO] Type checking passed.
% 1.75/1.21 % [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 ...
% 2.21/1.43 % [INFO] Killing All external provers ...
% 2.21/1.43 % Time passed: 902ms (effective reasoning time: 477ms)
% 2.21/1.43 % 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)>
% 2.21/1.43 % Axioms used in derivation (0):
% 2.21/1.43 % No. of inferences in proof: 11
% 2.21/1.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 902 ms resp. 477 ms w/o parsing
% 2.21/1.45 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.21/1.45 % [INFO] Killing All external provers ...
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