TSTP Solution File: SYO305^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---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 : n024.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 08:59:51 EDT 2024
% Result : Theorem 2.85s 1.99s
% Output : Refutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 18 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 32 ( 2 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 62 ( 8 ~; 5 |; 0 &; 34 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 ^ 17 !; 0 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(cB_type,type,
cB: $i > $o ).
thf(cA_type,type,
cA: $i > $o ).
thf(sk1_type,type,
sk1: $i > $o ).
thf(sk2_type,type,
sk2: $i ).
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(5,plain,
sk1 @ sk2,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: $i] :
( ~ ( sk1 @ A )
| ( cA @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: $i] :
( ~ ( sk1 @ A )
| ( cA @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(9,plain,
! [A: $i] :
( ( cA @ A )
| ( ( sk1 @ sk2 )
!= ( sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5,8]) ).
thf(10,plain,
cA @ sk2,
inference(pattern_uni,[status(thm)],[9:[bind(A,$thf( sk2 ))]]) ).
thf(7,plain,
! [A: $i] :
( ~ ( cA @ A )
| ( cB @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [A: $i] :
( ( cB @ A )
| ( ( cA @ sk2 )
!= ( cA @ A ) ) ),
inference(paramod_ordered,[status(thm)],[10,7]) ).
thf(12,plain,
cB @ sk2,
inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk2 ))]]) ).
thf(4,plain,
~ ( cB @ sk2 ),
inference(cnf,[status(esa)],[3]) ).
thf(13,plain,
$false,
inference(rewrite,[status(thm)],[12,4]) ).
thf(14,plain,
$false,
inference(simp,[status(thm)],[13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYO305^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n024.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 09:32:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.94/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/1.10 % [INFO] Parsing done (156ms).
% 1.20/1.11 % [INFO] Running in sequential loop mode.
% 1.79/1.47 % [INFO] nitpick registered as external prover.
% 1.79/1.47 % [INFO] Scanning for conjecture ...
% 1.99/1.55 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.99/1.58 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.99/1.58 % [INFO] Problem is higher-order (TPTP THF).
% 2.11/1.59 % [INFO] Type checking passed.
% 2.11/1.59 % [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 ...
% 2.85/1.99 % [INFO] Killing All external provers ...
% 2.85/1.99 % Time passed: 1519ms (effective reasoning time: 873ms)
% 2.85/1.99 % 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)>
% 2.85/1.99 % Axioms used in derivation (0):
% 2.85/1.99 % No. of inferences in proof: 14
% 2.85/1.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1519 ms resp. 873 ms w/o parsing
% 2.88/2.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.88/2.07 % [INFO] Killing All external provers ...
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