TSTP Solution File: SET045^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SET045^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n009.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 03:05:04 EDT 2024
% Result : Theorem 2.52s 1.88s
% Output : Refutation 2.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 9 ( 6 unt; 3 typ; 0 def)
% Number of atoms : 8 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 11 ( 4 ~; 0 |; 0 &; 7 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 0 ^ 5 !; 3 ?; 8 :)
% Comments :
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thf(b_type,type,
b: $tType ).
thf(a_type,type,
a: $tType ).
thf(cA_type,type,
cA: b ).
thf(1,conjecture,
? [A: a > b] :
! [B: a] :
( ( A @ B )
= cA ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTTTP5243) ).
thf(2,negated_conjecture,
~ ? [A: a > b] :
! [B: a] :
( ( A @ B )
= cA ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: a > b] :
! [B: a] :
( ( A @ B )
= cA ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: a > b] :
( ( A @ ( sk1 @ A ) )
!= cA ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: a > b] :
( ( A @ ( sk1 @ A ) )
!= cA ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
$false,
inference(pre_uni,[status(thm)],[5:[bind(A,$thf( ^ [B: a] : cA ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SET045^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.11 % Command : run_Leo-III %s %d
% 0.10/0.31 % Computer : n009.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon May 20 12:25:39 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.97/0.92 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/1.08 % [INFO] Parsing done (152ms).
% 1.31/1.09 % [INFO] Running in sequential loop mode.
% 1.69/1.45 % [INFO] nitpick registered as external prover.
% 1.69/1.45 % [INFO] Scanning for conjecture ...
% 1.99/1.53 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.99/1.56 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.99/1.56 % [INFO] Problem is higher-order (TPTP THF).
% 1.99/1.56 % [INFO] Type checking passed.
% 1.99/1.57 % [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 ...
% 2.52/1.88 % [INFO] Killing All external provers ...
% 2.52/1.88 % Time passed: 1419ms (effective reasoning time: 782ms)
% 2.52/1.88 % 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)>
% 2.52/1.88 % Axioms used in derivation (0):
% 2.52/1.88 % No. of inferences in proof: 6
% 2.52/1.88 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1419 ms resp. 782 ms w/o parsing
% 2.67/1.91 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.67/1.91 % [INFO] Killing All external provers ...
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