TSTP Solution File: SYN064+1 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYN064+1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 12:27:09 EDT 2023
% Result : Theorem 2.28s 1.61s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 12 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 5 ~; 0 |; 0 &; 20 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 12 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(big_p_type,type,
big_p: $i > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
? [A: $i,B: $i] :
( ( big_p @ A @ B )
=> ! [C: $i,D: $i] : ( big_p @ C @ D ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel35) ).
thf(2,negated_conjecture,
~ ? [A: $i,B: $i] :
( ( big_p @ A @ B )
=> ! [C: $i,D: $i] : ( big_p @ C @ D ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i,B: $i] :
( ( big_p @ A @ B )
=> ! [C: $i,D: $i] : ( big_p @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ! [A: $i,B: $i] : ( big_p @ A @ B )
=> ! [A: $i,B: $i] : ( big_p @ A @ B ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(5,plain,
~ ( big_p @ sk1 @ sk2 ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [B: $i,A: $i] : ( big_p @ A @ B ),
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
~ $true,
inference(rewrite,[status(thm)],[5,6]) ).
thf(8,plain,
$false,
inference(simp,[status(thm)],[7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.15 % Problem : SYN064+1 : TPTP v8.1.2. Released v2.0.0.
% 0.16/0.19 % Command : run_Leo-III %s %d
% 0.16/0.40 % Computer : n004.cluster.edu
% 0.16/0.40 % Model : x86_64 x86_64
% 0.16/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40 % Memory : 8042.1875MB
% 0.16/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.40 % CPULimit : 300
% 0.16/0.40 % WCLimit : 300
% 0.16/0.40 % DateTime : Thu May 18 19:45:25 EDT 2023
% 0.16/0.40 % CPUTime :
% 0.97/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.07/1.01 % [INFO] Parsing done (108ms).
% 1.24/1.02 % [INFO] Running in sequential loop mode.
% 1.67/1.24 % [INFO] eprover registered as external prover.
% 1.67/1.24 % [INFO] cvc4 registered as external prover.
% 1.67/1.25 % [INFO] Scanning for conjecture ...
% 1.67/1.30 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.67/1.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.67/1.32 % [INFO] Problem is first-order (TPTP FOF).
% 1.67/1.32 % [INFO] Type checking passed.
% 1.67/1.32 % [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 ...
% 2.28/1.61 % [INFO] Killing All external provers ...
% 2.28/1.61 % Time passed: 1054ms (effective reasoning time: 588ms)
% 2.28/1.61 % 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)>
% 2.28/1.61 % Axioms used in derivation (0):
% 2.28/1.61 % No. of inferences in proof: 8
% 2.28/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1054 ms resp. 588 ms w/o parsing
% 2.55/1.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.55/1.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------