TSTP Solution File: SEV009^5 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEV009^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 04:09:48 EDT 2024
% Result : Theorem 3.75s 2.33s
% Output : Refutation 4.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 4 unt; 1 typ; 0 def)
% Number of atoms : 4 ( 3 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 132 ( 2 ~; 0 |; 53 &; 65 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 11 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 30 ( 30 >; 0 *; 0 +; 0 <<)
% Number of symbols : 2 ( 0 usr; 1 con; 0-2 aty)
% Number of variables : 48 ( 0 ^ 27 !; 21 ?; 48 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
! [A: ( a > $o ) > $o] :
( ! [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B )
& ! [D: a > $o] :
( ( ( A @ D )
& ( D @ B ) )
=> ( D = C ) ) )
=> ( ! [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B )
& ( C @ B ) )
& ! [B: a,C: a] :
( ? [D: a > $o] :
( ( A @ D )
& ( D @ B )
& ( D @ C ) )
=> ? [D: a > $o] :
( ( A @ D )
& ( D @ C )
& ( D @ B ) ) )
& ! [B: a,C: a,D: a] :
( ( ? [E: a > $o] :
( ( A @ E )
& ( E @ B )
& ( E @ C ) )
& ? [E: a > $o] :
( ( A @ E )
& ( E @ C )
& ( E @ D ) ) )
=> ? [E: a > $o] :
( ( A @ E )
& ( E @ B )
& ( E @ D ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM261_B_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( a > $o ) > $o] :
( ! [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B )
& ! [D: a > $o] :
( ( ( A @ D )
& ( D @ B ) )
=> ( D = C ) ) )
=> ( ! [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B )
& ( C @ B ) )
& ! [B: a,C: a] :
( ? [D: a > $o] :
( ( A @ D )
& ( D @ B )
& ( D @ C ) )
=> ? [D: a > $o] :
( ( A @ D )
& ( D @ C )
& ( D @ B ) ) )
& ! [B: a,C: a,D: a] :
( ( ? [E: a > $o] :
( ( A @ E )
& ( E @ B )
& ( E @ C ) )
& ? [E: a > $o] :
( ( A @ E )
& ( E @ C )
& ( E @ D ) ) )
=> ? [E: a > $o] :
( ( A @ E )
& ( E @ B )
& ( E @ D ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( a > $o ) > $o] :
( ! [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B )
& ! [D: a > $o] :
( ( ( A @ D )
& ( D @ B ) )
=> ( D = C ) ) )
=> ( ! [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) )
& ! [B: a,C: a] :
( ? [D: a > $o] :
( ( A @ D )
& ( D @ B )
& ( D @ C ) )
=> ? [D: a > $o] :
( ( A @ D )
& ( D @ C )
& ( D @ B ) ) )
& ! [B: a,C: a,D: a] :
( ( ? [E: a > $o] :
( ( A @ E )
& ( E @ B )
& ( E @ C ) )
& ? [E: a > $o] :
( ( A @ E )
& ( E @ C )
& ( E @ D ) ) )
=> ? [E: a > $o] :
( ( A @ E )
& ( E @ B )
& ( E @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(30,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEV009^5 : TPTP v8.2.0. Released v4.0.0.
% 0.10/0.12 % Command : run_Leo-III %s %d
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Sun May 19 19:12:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.99/0.96 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.27/1.13 % [INFO] Parsing done (164ms).
% 1.27/1.14 % [INFO] Running in sequential loop mode.
% 1.92/1.51 % [INFO] eprover registered as external prover.
% 1.92/1.51 % [INFO] cvc4 registered as external prover.
% 1.92/1.52 % [INFO] Scanning for conjecture ...
% 2.01/1.61 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.19/1.65 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.19/1.65 % [INFO] Problem is higher-order (TPTP THF).
% 2.19/1.66 % [INFO] Type checking passed.
% 2.19/1.66 % [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 ...
% 3.75/2.32 % External prover 'e' found a proof!
% 3.75/2.32 % [INFO] Killing All external provers ...
% 3.75/2.32 % Time passed: 1845ms (effective reasoning time: 1175ms)
% 3.75/2.32 % 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)>
% 3.75/2.33 % Axioms used in derivation (0):
% 3.75/2.33 % No. of inferences in proof: 4
% 3.75/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1845 ms resp. 1175 ms w/o parsing
% 4.02/2.37 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.02/2.37 % [INFO] Killing All external provers ...
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