TSTP Solution File: SYN376+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 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 12:28:34 EDT 2023
% Result : Theorem 2.47s 1.47s
% Output : Refutation 2.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 1 unt; 1 typ; 0 def)
% Number of atoms : 15 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 30 ( 5 ~; 3 |; 1 &; 14 @)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 1 usr; 1 con; 0-1 aty)
% Number of variables : 12 ( 0 ^; 9 !; 3 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $o ).
thf(1,conjecture,
( ? [A: $i] :
! [B: $i] :
( ( big_p @ B )
<=> ( big_p @ A ) )
=> ( ! [A: $i] : ( big_p @ A )
| ! [A: $i] :
~ ( big_p @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2127) ).
thf(2,negated_conjecture,
~ ( ? [A: $i] :
! [B: $i] :
( ( big_p @ B )
<=> ( big_p @ A ) )
=> ( ! [A: $i] : ( big_p @ A )
| ! [A: $i] :
~ ( big_p @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ? [A: $i] :
! [B: $i] :
( ( ( big_p @ B )
=> ( big_p @ A ) )
& ( ( big_p @ A )
=> ( big_p @ B ) ) )
=> ( ! [A: $i] : ( big_p @ A )
| ! [A: $i] :
~ ( big_p @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN376+1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.11/0.15 % 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 20:03:36 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.89/0.83 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.11/0.93 % [INFO] Parsing done (99ms).
% 1.22/0.93 % [INFO] Running in sequential loop mode.
% 1.50/1.13 % [INFO] eprover registered as external prover.
% 1.50/1.14 % [INFO] cvc4 registered as external prover.
% 1.50/1.14 % [INFO] Scanning for conjecture ...
% 1.71/1.18 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.71/1.20 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.71/1.21 % [INFO] Problem is first-order (TPTP FOF).
% 1.71/1.21 % [INFO] Type checking passed.
% 1.71/1.21 % [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 ...
% 2.47/1.47 % External prover 'e' found a proof!
% 2.47/1.47 % [INFO] Killing All external provers ...
% 2.47/1.47 % Time passed: 957ms (effective reasoning time: 529ms)
% 2.47/1.47 % 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)>
% 2.47/1.47 % Axioms used in derivation (0):
% 2.47/1.47 % No. of inferences in proof: 4
% 2.47/1.47 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 957 ms resp. 529 ms w/o parsing
% 2.51/1.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.51/1.49 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------