TSTP Solution File: SYO896_7 by Leo-III---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n012.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 08:58:44 EDT 2024
% Result : Theorem 2.40s 1.60s
% Output : Refutation 2.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 9 ( 1 unt; 5 typ; 0 def)
% Number of atoms : 25 ( 0 equ; 0 cnn)
% Maximal formula atoms : 8 ( 6 avg)
% Number of connectives : 62 ( 8 ~; 0 |; 6 &; 33 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 9 ( 0 ^ 6 !; 3 ?; 9 :)
% Comments :
%------------------------------------------------------------------------------
thf('\'$ki_world\'_type',type,
'\'$ki_world\'': $tType ).
thf('\'$ki_local_world\'_type',type,
'\'$ki_local_world\'': '\'$ki_world\'' ).
thf('\'$ki_accessible\'_type',type,
'\'$ki_accessible\'': '\'$ki_world\'' > '\'$ki_world\'' > $o ).
thf(p_type,type,
p: '\'$ki_world\'' > $o ).
thf(q_type,type,
q: '\'$ki_world\'' > $o ).
thf(1,conjecture,
( ( ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ( ( p @ A )
=> ( q @ A ) ) )
& ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ( ( p @ A )
=> ~ ( q @ A ) ) ) )
=> ~ ? [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
& ( p @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
thf(2,negated_conjecture,
~ ( ( ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ( ( p @ A )
=> ( q @ A ) ) )
& ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ( ( p @ A )
=> ~ ( q @ A ) ) ) )
=> ~ ? [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
& ( p @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ( ( p @ A )
=> ( q @ A ) ) )
& ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ( ( p @ A )
=> ~ ( q @ A ) ) ) )
=> ~ ? [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
& ( p @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(9,plain,
$false,
inference(e,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO896_7 : TPTP v8.2.0. Released v8.2.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 10:30:39 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.89/0.83 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.94 % [INFO] Parsing done (102ms).
% 1.18/0.94 % [INFO] Running in sequential loop mode.
% 1.57/1.19 % [INFO] eprover registered as external prover.
% 1.57/1.19 % [INFO] cvc4 registered as external prover.
% 1.57/1.20 % [INFO] Scanning for conjecture ...
% 1.79/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.79/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.79/1.29 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.79/1.30 % [INFO] Type checking passed.
% 1.79/1.30 % [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 ...
% 2.40/1.59 % External prover 'e' found a proof!
% 2.40/1.59 % [INFO] Killing All external provers ...
% 2.40/1.59 % Time passed: 1092ms (effective reasoning time: 645ms)
% 2.40/1.59 % 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)>
% 2.40/1.59 % Axioms used in derivation (0):
% 2.40/1.60 % No. of inferences in proof: 4
% 2.40/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1092 ms resp. 645 ms w/o parsing
% 2.64/1.66 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.64/1.66 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------