TSTP Solution File: SET199^5 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SET199^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 10:49:25 EDT 2024
% Result : Theorem 2.66s 1.61s
% Output : Refutation 2.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 5 unt; 4 typ; 0 def)
% Number of atoms : 11 ( 1 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 54 ( 5 ~; 5 |; 3 &; 29 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 11 ( 11 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 0 ^ 20 !; 0 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk3_type,type,
sk3: a > $o ).
thf(sk4_type,type,
sk4: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( C @ D )
=> ( A @ D ) )
& ! [D: a] :
( ( C @ D )
=> ( B @ D ) ) )
=> ! [D: a] :
( ( C @ D )
=> ( ( A @ D )
| ( B @ D ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cBOOL_PROP_39_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( C @ D )
=> ( A @ D ) )
& ! [D: a] :
( ( C @ D )
=> ( B @ D ) ) )
=> ! [D: a] :
( ( C @ D )
=> ( ( A @ D )
| ( B @ D ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o,C: a > $o] :
( ( ! [D: a] :
( ( C @ D )
=> ( A @ D ) )
& ! [D: a] :
( ( C @ D )
=> ( B @ D ) ) )
=> ! [D: a] :
( ( C @ D )
=> ( ( A @ D )
| ( B @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
sk3 @ sk4,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: a] :
( ~ ( sk3 @ A )
| ( sk1 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [A: a] :
( ( sk1 @ A )
| ( ( sk3 @ sk4 )
!= ( sk3 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5,6]) ).
thf(11,plain,
sk1 @ sk4,
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( sk4 ))]]) ).
thf(8,plain,
~ ( sk1 @ sk4 ),
inference(cnf,[status(esa)],[3]) ).
thf(14,plain,
$false,
inference(rewrite,[status(thm)],[11,8]) ).
thf(15,plain,
$false,
inference(simp,[status(thm)],[14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET199^5 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 20:32:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.91/0.82 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/0.94 % [INFO] Parsing done (120ms).
% 1.23/0.95 % [INFO] Running in sequential loop mode.
% 1.51/1.17 % [INFO] nitpick registered as external prover.
% 1.51/1.18 % [INFO] Scanning for conjecture ...
% 1.81/1.23 % [INFO] Found a conjecture and 0 axioms. Running axiom selection ...
% 1.84/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.84/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.84/1.25 % [INFO] Type checking passed.
% 1.84/1.26 % [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 ...
% 2.66/1.61 % [INFO] Killing All external provers ...
% 2.66/1.61 % Time passed: 1089ms (effective reasoning time: 659ms)
% 2.66/1.61 % 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)>
% 2.66/1.61 % Axioms used in derivation (0):
% 2.66/1.61 % No. of inferences in proof: 10
% 2.66/1.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1089 ms resp. 659 ms w/o parsing
% 2.66/1.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.66/1.64 % [INFO] Killing All external provers ...
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