TSTP Solution File: SYO305^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO305^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n022.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 08:56:23 EDT 2024
% Result : Theorem 2.42s 1.45s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 6 ( 1 unt; 2 typ; 0 def)
% Number of atoms : 13 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 35 ( 2 ~; 0 |; 0 &; 18 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 ^ 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(cB_type,type,
cB: $i > $o ).
thf(cA_type,type,
cA: $i > $o ).
thf(1,conjecture,
( ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) )
=> ! [A: $i > $o] :
( ! [B: $i] :
( ( A @ B )
=> ( cA @ B ) )
=> ! [B: $i] :
( ( A @ B )
=> ( cB @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSET79_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) )
=> ! [A: $i > $o] :
( ! [B: $i] :
( ( A @ B )
=> ( cA @ B ) )
=> ! [B: $i] :
( ( A @ B )
=> ( cB @ B ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: $i] :
( ( cA @ A )
=> ( cB @ A ) )
=> ! [A: $i > $o] :
( ! [B: $i] :
( ( A @ B )
=> ( cA @ B ) )
=> ! [B: $i] :
( ( A @ B )
=> ( cB @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(11,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : SYO305^5 : TPTP v8.2.0. Released v4.0.0.
% 0.02/0.10 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n022.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 09:32:08 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.73/0.75 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.85/0.84 % [INFO] Parsing done (89ms).
% 0.85/0.84 % [INFO] Running in sequential loop mode.
% 1.33/1.04 % [INFO] eprover registered as external prover.
% 1.33/1.04 % [INFO] cvc4 registered as external prover.
% 1.33/1.05 % [INFO] Scanning for conjecture ...
% 1.55/1.09 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.55/1.11 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.55/1.11 % [INFO] Problem is higher-order (TPTP THF).
% 1.55/1.12 % [INFO] Type checking passed.
% 1.55/1.12 % [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 ...
% 2.42/1.45 % External prover 'e' found a proof!
% 2.42/1.45 % [INFO] Killing All external provers ...
% 2.42/1.45 % Time passed: 1014ms (effective reasoning time: 598ms)
% 2.42/1.45 % 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)>
% 2.42/1.45 % Axioms used in derivation (0):
% 2.42/1.45 % No. of inferences in proof: 4
% 2.42/1.45 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1014 ms resp. 598 ms w/o parsing
% 2.42/1.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.42/1.46 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------