TSTP Solution File: SYO893_11 by Leo-III---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.12
% Problem : SYO893_11 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n007.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 08:58:43 EDT 2024
% Result : Theorem 2.60s 1.60s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of formulae : 10 ( 3 unt; 4 typ; 0 def)
% Number of atoms : 35 ( 0 equ; 0 cnn)
% Maximal formula atoms : 16 ( 5 avg)
% Number of connectives : 99 ( 10 ~; 0 |; 13 &; 60 @)
% ( 2 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 28 ( 0 ^ 16 !; 12 ?; 28 :)
% 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\'' > $o ).
thf(1,conjecture,
( ~ ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
& ! [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
=> ( p @ C ) ) ) )
<=> ? [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
& ! [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
=> ? [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
& ~ ( p @ C ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',verify) ).
thf(2,negated_conjecture,
~ ( ~ ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
& ! [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
=> ( p @ C ) ) ) )
<=> ? [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
& ! [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
=> ? [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
& ~ ( p @ C ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ( ( ~ ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
& ! [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
=> ( p @ C ) ) ) )
=> ? [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
& ! [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
=> ? [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
& ~ ( p @ C ) ) ) ) )
& ( ? [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
& ! [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
=> ? [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
& ~ ( p @ C ) ) ) )
=> ~ ! [A: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ '\'$ki_local_world\'' @ A )
=> ? [B: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ A @ B )
& ! [C: '\'$ki_world\''] :
( ( '\'$ki_accessible\'' @ B @ C )
=> ( p @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(3,axiom,
! [A: '\'$ki_world\'',B: '\'$ki_world\''] : ( '\'$ki_accessible\'' @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(21,plain,
! [A: '\'$ki_world\'',B: '\'$ki_world\''] : ( '\'$ki_accessible\'' @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(24,plain,
$false,
inference(e,[status(thm)],[4,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYO893_11 : TPTP v8.2.0. Released v8.2.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n007.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Mon May 20 09:18:54 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.95/0.87 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.97 % [INFO] Parsing done (100ms).
% 1.22/0.98 % [INFO] Running in sequential loop mode.
% 1.64/1.18 % [INFO] eprover registered as external prover.
% 1.64/1.18 % [INFO] cvc4 registered as external prover.
% 1.64/1.18 % [INFO] Scanning for conjecture ...
% 1.84/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.84/1.26 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.84/1.27 % [INFO] Problem is typed first-order (TPTP TFF).
% 1.84/1.27 % [INFO] Type checking passed.
% 1.84/1.27 % [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 ...
% 2.60/1.60 % External prover 'e' found a proof!
% 2.60/1.60 % [INFO] Killing All external provers ...
% 2.60/1.60 % Time passed: 1072ms (effective reasoning time: 620ms)
% 2.60/1.60 % 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)>
% 2.60/1.60 % Axioms used in derivation (1): mrel_universal
% 2.60/1.60 % No. of inferences in proof: 6
% 2.60/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1072 ms resp. 620 ms w/o parsing
% 3.00/1.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.00/1.63 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------