TSTP Solution File: SYO232^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO232^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 08:56:11 EDT 2024
% Result : Theorem 2.54s 1.89s
% Output : Refutation 2.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 1 unt; 5 typ; 0 def)
% Number of atoms : 12 ( 2 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 16 ( 2 ~; 0 |; 0 &; 6 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 0 !; 3 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cP_type,type,
cP: a > $o ).
thf(x_type,type,
x: a ).
thf(cB_type,type,
cB: $o ).
thf(y_type,type,
y: $i ).
thf(1,conjecture,
( ( ( y = y )
=> cB )
=> ( ( cP @ x )
=> ? [A: a] : ( cP @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cADDHYP4) ).
thf(2,negated_conjecture,
~ ( ( ( y = y )
=> cB )
=> ( ( cP @ x )
=> ? [A: a] : ( cP @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( cB
=> ( ( cP @ x )
=> ? [A: a] : ( cP @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
$false,
inference(cvc4,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO232^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n008.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 20 09:34:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 1.00/0.93 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.08 % [INFO] Parsing done (145ms).
% 1.29/1.09 % [INFO] Running in sequential loop mode.
% 1.71/1.44 % [INFO] eprover registered as external prover.
% 1.71/1.44 % [INFO] cvc4 registered as external prover.
% 1.71/1.45 % [INFO] Scanning for conjecture ...
% 1.96/1.52 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.01/1.55 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.01/1.55 % [INFO] Problem is higher-order (TPTP THF).
% 2.01/1.56 % [INFO] Type checking passed.
% 2.01/1.57 % [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 ...
% 2.54/1.89 % External prover 'cvc4' found a proof!
% 2.54/1.89 % [INFO] Killing All external provers ...
% 2.54/1.89 % Time passed: 1425ms (effective reasoning time: 792ms)
% 2.54/1.89 % 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)>
% 2.54/1.89 % Axioms used in derivation (0):
% 2.54/1.89 % No. of inferences in proof: 4
% 2.54/1.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1425 ms resp. 792 ms w/o parsing
% 2.80/1.92 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.80/1.92 % [INFO] Killing All external provers ...
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