TSTP Solution File: SEU504^2 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SEU504^2 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 03:37:51 EDT 2024
% Result : Theorem 3.13s 2.06s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of formulae : 14 ( 8 unt; 4 typ; 2 def)
% Number of atoms : 17 ( 5 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 4 ~; 0 |; 3 &; 15 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 1 ^ 9 !; 6 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(exu_type,type,
exu: ( $i > $o ) > $o ).
thf(exu_def,definition,
( exu
= ( ^ [A: $i > $o] :
? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) ) ) ) ).
thf(exuE1_type,type,
exuE1: $o ).
thf(exuE1_def,definition,
( exuE1
= ( ! [A: $i > $o] :
( ( exu @ A )
=> ? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) ) ) ) ) ).
thf(sk1_type,type,
sk1: $i > $o ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
( exuE1
=> ! [A: $i > $o] :
( ( exu @ A )
=> ? [B: $i] : ( A @ B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',exuE3e) ).
thf(2,negated_conjecture,
~ ( exuE1
=> ! [A: $i > $o] :
( ( exu @ A )
=> ? [B: $i] : ( A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: $i > $o] :
( ? [B: $i] :
( ( A @ B )
& ! [C: $i] :
( ( A @ C )
=> ( B = C ) ) )
=> ? [B: $i] : ( A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
sk1 @ sk2,
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
! [A: $i] :
~ ( sk1 @ A ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: $i] :
~ ( sk1 @ A ),
inference(simp,[status(thm)],[4]) ).
thf(9,plain,
$false,
inference(rewrite,[status(thm)],[6,7]) ).
thf(10,plain,
$false,
inference(simp,[status(thm)],[9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SEU504^2 : TPTP v8.2.0. Released v3.7.0.
% 0.10/0.11 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n023.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Sun May 19 17:56:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 1.00/0.94 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.29/1.10 % [INFO] Parsing done (149ms).
% 1.29/1.11 % [INFO] Running in sequential loop mode.
% 1.86/1.46 % [INFO] eprover registered as external prover.
% 1.86/1.47 % [INFO] cvc4 registered as external prover.
% 1.86/1.47 % [INFO] Scanning for conjecture ...
% 2.01/1.56 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 2.01/1.59 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 2.01/1.59 % [INFO] Problem is higher-order (TPTP THF).
% 2.01/1.59 % [INFO] Type checking passed.
% 2.01/1.60 % [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 ...
% 2.81/2.01 % [INFO] Killing All external provers ...
% 3.13/2.06 % Time passed: 1591ms (effective reasoning time: 943ms)
% 3.13/2.06 % 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)>
% 3.13/2.06 % Axioms used in derivation (0):
% 3.13/2.06 % No. of inferences in proof: 8
% 3.13/2.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1591 ms resp. 943 ms w/o parsing
% 3.17/2.10 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.17/2.10 % [INFO] Killing All external provers ...
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