TSTP Solution File: SET590^5 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SET590^5 : TPTP v8.1.2. 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 7 10:49:59 EDT 2024
% Result : Theorem 2.18s 1.52s
% Output : Refutation 2.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 4 unt; 3 typ; 0 def)
% Number of atoms : 4 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 23 ( 6 ~; 0 |; 3 &; 11 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 0 ^ 9 !; 0 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk3_type,type,
sk3: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a] :
( ( ( A @ C )
& ~ ( B @ C ) )
=> ( A @ C ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_49_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a] :
( ( ( A @ C )
& ~ ( B @ C ) )
=> ( A @ C ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a] :
( ( ( A @ C )
& ~ ( B @ C ) )
=> ( A @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
sk1 @ sk3,
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk1 @ sk3 ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
$false,
inference(rewrite,[status(thm)],[6,4]) ).
thf(8,plain,
$false,
inference(simp,[status(thm)],[7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET590^5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n022.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 6 20:39:24 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.91/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.07/1.02 % [INFO] Parsing done (112ms).
% 1.07/1.02 % [INFO] Running in sequential loop mode.
% 1.57/1.24 % [INFO] nitpick registered as external prover.
% 1.57/1.24 % [INFO] Scanning for conjecture ...
% 1.64/1.29 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.64/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.64/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.64/1.31 % [INFO] Type checking passed.
% 1.64/1.32 % [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 ...
% 2.18/1.51 % [INFO] Killing All external provers ...
% 2.18/1.52 % Time passed: 998ms (effective reasoning time: 488ms)
% 2.18/1.52 % 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)>
% 2.18/1.52 % Axioms used in derivation (0):
% 2.18/1.52 % No. of inferences in proof: 7
% 2.18/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 998 ms resp. 488 ms w/o parsing
% 2.31/1.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.31/1.53 % [INFO] Killing All external provers ...
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