TSTP Solution File: SYO033^1 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO033^1 : TPTP v8.2.0. Released v3.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n015.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 08:55:30 EDT 2024
% Result : Theorem 3.35s 1.82s
% Output : Refutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 7 ( 6 unt; 1 typ; 0 def)
% Number of atoms : 10 ( 5 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 18 ( 4 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 0 ^ 10 !; 3 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(sk1_type,type,
sk1: ( ( $i > $o ) > $o ) > $i > $o ).
thf(1,conjecture,
? [A: ( $i > $o ) > $o] :
! [B: $i > $o] :
( ( A @ B )
= ( ! [C: $i] : ( B @ C ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ? [A: ( $i > $o ) > $o] :
! [B: $i > $o] :
( ( A @ B )
= ( ! [C: $i] : ( B @ C ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: ( $i > $o ) > $o] :
! [B: $i > $o] :
( ( A @ B )
= ( ! [C: $i] : ( B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: ( $i > $o ) > $o] :
( ( A @ ( sk1 @ A ) )
!= ( ! [B: $i] : ( sk1 @ A @ B ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: ( $i > $o ) > $o] :
( ( A @ ( sk1 @ A ) )
!= ( ! [B: $i] : ( sk1 @ A @ B ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
$false,
inference(pre_uni,[status(thm)],[5:[bind(A,$thf( '!' @ $i ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYO033^1 : TPTP v8.2.0. Released v3.7.0.
% 0.07/0.17 % Command : run_Leo-III %s %d
% 0.16/0.39 % Computer : n015.cluster.edu
% 0.16/0.39 % Model : x86_64 x86_64
% 0.16/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.39 % Memory : 8042.1875MB
% 0.16/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.39 % CPULimit : 300
% 0.16/0.39 % WCLimit : 300
% 0.16/0.39 % DateTime : Mon May 20 10:17:24 EDT 2024
% 0.16/0.39 % CPUTime :
% 1.04/0.98 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.19/1.09 % [INFO] Parsing done (108ms).
% 1.42/1.10 % [INFO] Running in sequential loop mode.
% 1.80/1.32 % [INFO] eprover registered as external prover.
% 1.80/1.32 % [INFO] cvc4 registered as external prover.
% 1.80/1.33 % [INFO] Scanning for conjecture ...
% 1.98/1.38 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.98/1.40 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.98/1.40 % [INFO] Problem is higher-order (TPTP THF).
% 1.98/1.40 % [INFO] Type checking passed.
% 1.98/1.40 % [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 ...
% 3.32/1.82 % [INFO] Killing All external provers ...
% 3.35/1.82 % Time passed: 1247ms (effective reasoning time: 719ms)
% 3.35/1.82 % 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)>
% 3.35/1.82 % Axioms used in derivation (0):
% 3.35/1.82 % No. of inferences in proof: 6
% 3.35/1.82 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1247 ms resp. 719 ms w/o parsing
% 3.35/1.85 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.35/1.85 % [INFO] Killing All external provers ...
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