TSTP Solution File: SYO012_8 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO012_8 : TPTP v8.2.0. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n013.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 08:55:25 EDT 2024
% Result : Theorem 2.63s 1.57s
% Output : Refutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 5 unt; 3 typ; 0 def)
% Number of atoms : 49 ( 3 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 37 ( 6 ~; 2 |; 16 &; 10 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $o ).
thf(b_type,type,
b: $o ).
thf(p_type,type,
p: $o > $o ).
thf(1,conjecture,
( ( p
@ ( a
& b ) )
=> ( p
@ ( b
& a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( ( p
@ ( a
& b ) )
=> ( p
@ ( b
& a ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( p
@ ( a
& b ) )
=> ( p
@ ( b
& a ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( p
@ ( a
& b ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( p
@ ( b
& a ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
( ( p
@ ( a
& b ) )
!= ( p
@ ( b
& a ) ) ),
inference(paramod_ordered,[status(thm)],[5,4]) ).
thf(7,plain,
( ( a
& b )
!= ( b
& a ) ),
inference(simp,[status(thm)],[6]) ).
thf(10,plain,
( ( a
& b )
| ( b
& a ) ),
inference(bool_ext,[status(thm)],[7]) ).
thf(14,plain,
( a
| a ),
inference(cnf,[status(esa)],[10]) ).
thf(17,plain,
a,
inference(simp,[status(thm)],[14]) ).
thf(23,plain,
( ( $true
& b )
!= ( b
& $true ) ),
inference(rewrite,[status(thm)],[7,17]) ).
thf(24,plain,
$false,
inference(simp,[status(thm)],[23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO012_8 : TPTP v8.2.0. Released v8.0.0.
% 0.16/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n013.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon May 20 09:35:39 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.93/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.21/0.94 % [INFO] Parsing done (92ms).
% 1.21/0.95 % [INFO] Running in sequential loop mode.
% 1.60/1.16 % [INFO] eprover registered as external prover.
% 1.60/1.16 % [INFO] cvc4 registered as external prover.
% 1.60/1.17 % [INFO] Scanning for conjecture ...
% 1.69/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.69/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.69/1.23 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.69/1.23 % [INFO] Type checking passed.
% 1.85/1.23 % [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 ...
% 2.63/1.56 % [INFO] Killing All external provers ...
% 2.63/1.57 % Time passed: 1048ms (effective reasoning time: 613ms)
% 2.63/1.57 % 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)>
% 2.63/1.57 % Axioms used in derivation (0):
% 2.63/1.57 % No. of inferences in proof: 12
% 2.63/1.57 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1048 ms resp. 613 ms w/o parsing
% 2.63/1.59 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.63/1.59 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------