TSTP Solution File: SYO258^5 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO258^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 08:56:15 EDT 2024
% Result : Theorem 3.01s 2.03s
% Output : Refutation 3.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 4 unt; 4 typ; 0 def)
% Number of atoms : 16 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 51 ( 2 ~; 0 |; 9 &; 34 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 13 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^ 8 !; 6 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $i ).
thf(cQ_type,type,
cQ: $i > ( $i > $o ) > $o ).
thf(cP_type,type,
cP: $i > $i > $o ).
thf(b_type,type,
b: $i ).
thf(1,conjecture,
( ( ( cP @ a @ b )
& ! [A: $i > $o] : ( cQ @ b @ A ) )
=> ? [A: $i > $o] :
! [B: $i] :
( ( A @ B )
=> ( ? [C: $i] :
( ( cP @ B @ C )
& ( cQ @ C @ A ) )
& ( A @ a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cBLEDSOE_FENG_6) ).
thf(2,negated_conjecture,
~ ( ( ( cP @ a @ b )
& ! [A: $i > $o] : ( cQ @ b @ A ) )
=> ? [A: $i > $o] :
! [B: $i] :
( ( A @ B )
=> ( ? [C: $i] :
( ( cP @ B @ C )
& ( cQ @ C @ A ) )
& ( A @ a ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ( cP @ a @ b )
& ! [A: $i > $o] : ( cQ @ b @ A ) )
=> ? [A: $i > $o] :
! [B: $i] :
( ( A @ B )
=> ( ? [C: $i] :
( ( cP @ B @ C )
& ( cQ @ C @ A ) )
& ( A @ a ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: $i > $o] : ( A @ ( sk1 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [A: $i > $o] : ( A @ ( sk1 @ A ) ),
inference(simp,[status(thm)],[5]) ).
thf(17,plain,
$false,
inference(prim_subst,[status(thm)],[9:[bind(A,$thf( ^ [B: $i] : $false ))]]) ).
thf(19,plain,
$false,
inference(simp,[status(thm)],[17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SYO258^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11 % Command : run_Leo-III %s %d
% 0.10/0.30 % Computer : n008.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Mon May 20 08:39:24 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.92/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.18/1.04 % [INFO] Parsing done (147ms).
% 1.18/1.05 % [INFO] Running in sequential loop mode.
% 1.72/1.39 % [INFO] eprover registered as external prover.
% 1.72/1.39 % [INFO] cvc4 registered as external prover.
% 1.72/1.40 % [INFO] Scanning for conjecture ...
% 1.91/1.48 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.97/1.51 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.97/1.51 % [INFO] Problem is higher-order (TPTP THF).
% 1.97/1.52 % [INFO] Type checking passed.
% 1.97/1.52 % [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 ...
% 3.01/2.03 % [INFO] Killing All external provers ...
% 3.01/2.03 % Time passed: 1584ms (effective reasoning time: 972ms)
% 3.01/2.03 % 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)>
% 3.01/2.03 % Axioms used in derivation (0):
% 3.01/2.03 % No. of inferences in proof: 7
% 3.01/2.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1584 ms resp. 972 ms w/o parsing
% 3.01/2.06 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.01/2.06 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------