TSTP Solution File: SYO147^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO147^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 08:59:25 EDT 2024
% Result : Theorem 2.42s 1.53s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 7 unt; 4 typ; 0 def)
% Number of atoms : 39 ( 0 equ; 0 cnn)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 73 ( 11 ~; 4 |; 8 &; 38 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 18 ( 0 ^ 13 !; 5 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(cP3_type,type,
cP3: $i > $o ).
thf(cP2_type,type,
cP2: $i > $o ).
thf(cP1_type,type,
cP1: $i > $o ).
thf(sk1_type,type,
sk1: $i > $i ).
thf(1,conjecture,
? [A: $i] :
! [B: $i] :
( ( ( cP1 @ B )
& ( ( cP1 @ A )
=> ( cP2 @ B ) )
& ( ( cP2 @ A )
=> ( cP3 @ B ) ) )
=> ( cP3 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBAFFLER3) ).
thf(2,negated_conjecture,
~ ? [A: $i] :
! [B: $i] :
( ( ( cP1 @ B )
& ( ( cP1 @ A )
=> ( cP2 @ B ) )
& ( ( cP2 @ A )
=> ( cP3 @ B ) ) )
=> ( cP3 @ A ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $i] :
! [B: $i] :
( ( ( cP1 @ B )
& ( ( cP1 @ A )
=> ( cP2 @ B ) )
& ( ( cP2 @ A )
=> ( cP3 @ B ) ) )
=> ( cP3 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
~ ( ! [A: $i] :
? [B: $i] :
( ( cP1 @ B )
& ( ( cP1 @ A )
=> ( cP2 @ B ) )
& ( ( cP2 @ A )
=> ( cP3 @ B ) ) )
=> ? [A: $i] : ( cP3 @ A ) ),
inference(miniscope,[status(thm)],[3]) ).
thf(8,plain,
! [A: $i] : ( cP1 @ ( sk1 @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(7,plain,
! [A: $i] :
( ~ ( cP1 @ A )
| ( cP2 @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
! [A: $i] :
( ~ ( cP2 @ A )
| ( cP3 @ ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(5,plain,
! [A: $i] :
~ ( cP3 @ A ),
inference(cnf,[status(esa)],[4]) ).
thf(9,plain,
! [A: $i] :
~ ( cP3 @ A ),
inference(simp,[status(thm)],[5]) ).
thf(10,plain,
! [A: $i] :
( ~ ( cP2 @ A )
| $false ),
inference(rewrite,[status(thm)],[6,9]) ).
thf(11,plain,
! [A: $i] :
~ ( cP2 @ A ),
inference(simp,[status(thm)],[10]) ).
thf(12,plain,
! [A: $i] :
( ~ ( cP1 @ A )
| $false ),
inference(rewrite,[status(thm)],[7,11]) ).
thf(13,plain,
! [A: $i] :
~ ( cP1 @ A ),
inference(simp,[status(thm)],[12]) ).
thf(14,plain,
$false,
inference(rewrite,[status(thm)],[8,13]) ).
thf(15,plain,
$false,
inference(simp,[status(thm)],[14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO147^5 : TPTP v8.2.0. Released v4.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 09:11:09 EDT 2024
% 0.16/0.37 % CPUTime :
% 1.03/0.90 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.01 % [INFO] Parsing done (113ms).
% 1.29/1.02 % [INFO] Running in sequential loop mode.
% 1.67/1.23 % [INFO] nitpick registered as external prover.
% 1.71/1.23 % [INFO] Scanning for conjecture ...
% 1.71/1.28 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.71/1.30 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.71/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.71/1.30 % [INFO] Type checking passed.
% 1.71/1.30 % [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 ...
% 2.38/1.53 % [INFO] Killing All external provers ...
% 2.42/1.53 % Time passed: 1002ms (effective reasoning time: 502ms)
% 2.42/1.53 % 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)>
% 2.42/1.53 % Axioms used in derivation (0):
% 2.42/1.53 % No. of inferences in proof: 15
% 2.42/1.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1002 ms resp. 502 ms w/o parsing
% 2.42/1.55 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.42/1.55 % [INFO] Killing All external provers ...
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