TSTP Solution File: SYO896^7 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO896^7 : TPTP v8.2.0. Released v8.1.0.
% 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 09:02:00 EDT 2024
% Result : Theorem 2.79s 1.64s
% Output : Refutation 2.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of formulae : 34 ( 10 unt; 12 typ; 6 def)
% Number of atoms : 83 ( 8 equ; 0 cnn)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 133 ( 24 ~; 14 |; 4 &; 84 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 33 ( 33 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 4 con; 0-3 aty)
% Number of variables : 23 ( 13 ^ 8 !; 2 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mrel_type,type,
mrel: mworld > mworld > $o ).
thf(mactual_type,type,
mactual: mworld ).
thf(mlocal_type,type,
mlocal: ( mworld > $o ) > $o ).
thf(mlocal_def,definition,
( mlocal
= ( ^ [A: mworld > $o] : ( A @ mactual ) ) ) ).
thf(mnot_type,type,
mnot: ( mworld > $o ) > mworld > $o ).
thf(mnot_def,definition,
( mnot
= ( ^ [A: mworld > $o,B: mworld] :
~ ( A @ B ) ) ) ).
thf(mand_type,type,
mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mand_def,definition,
( mand
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
& ( B @ C ) ) ) ) ).
thf(mimplies_type,type,
mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: mworld > $o,B: mworld > $o,C: mworld] :
( ( A @ C )
=> ( B @ C ) ) ) ) ).
thf(mbox_type,type,
mbox: ( mworld > $o ) > mworld > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: mworld > $o,B: mworld] :
! [C: mworld] :
( ( mrel @ B @ C )
=> ( A @ C ) ) ) ) ).
thf(mdia_type,type,
mdia: ( mworld > $o ) > mworld > $o ).
thf(mdia_def,definition,
( mdia
= ( ^ [A: mworld > $o,B: mworld] :
? [C: mworld] :
( ( mrel @ B @ C )
& ( A @ C ) ) ) ) ).
thf(p_type,type,
p: mworld > $o ).
thf(q_type,type,
q: mworld > $o ).
thf(sk1_type,type,
sk1: mworld ).
thf(1,conjecture,
mlocal @ ( mimplies @ ( mand @ ( mbox @ ( mimplies @ p @ q ) ) @ ( mbox @ ( mimplies @ p @ ( mnot @ q ) ) ) ) @ ( mnot @ ( mdia @ p ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( mlocal @ ( mimplies @ ( mand @ ( mbox @ ( mimplies @ p @ q ) ) @ ( mbox @ ( mimplies @ p @ ( mnot @ q ) ) ) ) @ ( mnot @ ( mdia @ p ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ( ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ( ( p @ A )
=> ( q @ A ) ) )
& ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ( ( p @ A )
=> ~ ( q @ A ) ) ) )
=> ~ ? [A: mworld] :
( ( mrel @ mactual @ A )
& ( p @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
mrel @ mactual @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( p @ A )
| ~ ( q @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( p @ A )
| ~ ( q @ A ) ),
inference(simp,[status(thm)],[6]) ).
thf(15,plain,
! [A: mworld] :
( ~ ( p @ A )
| ~ ( q @ A )
| ( ( mrel @ mactual @ sk1 )
!= ( mrel @ mactual @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5,8]) ).
thf(16,plain,
( ~ ( p @ sk1 )
| ~ ( q @ sk1 ) ),
inference(pattern_uni,[status(thm)],[15:[bind(A,$thf( sk1 ))]]) ).
thf(4,plain,
p @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ~ ( p @ A )
| ( q @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(11,plain,
! [A: mworld] :
( ~ ( p @ A )
| ( q @ A )
| ( ( mrel @ mactual @ sk1 )
!= ( mrel @ mactual @ A ) ) ),
inference(paramod_ordered,[status(thm)],[5,7]) ).
thf(12,plain,
( ~ ( p @ sk1 )
| ( q @ sk1 ) ),
inference(pattern_uni,[status(thm)],[11:[bind(A,$thf( sk1 ))]]) ).
thf(13,plain,
( ~ $true
| ( q @ sk1 ) ),
inference(rewrite,[status(thm)],[12,4]) ).
thf(14,plain,
q @ sk1,
inference(simp,[status(thm)],[13]) ).
thf(21,plain,
( ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[16,4,14]) ).
thf(22,plain,
$false,
inference(simp,[status(thm)],[21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYO896^7 : TPTP v8.2.0. Released v8.1.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.16/0.37 % Computer : n012.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 10:09:54 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.98/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.22/0.97 % [INFO] Parsing done (111ms).
% 1.22/0.98 % [INFO] Running in sequential loop mode.
% 1.67/1.20 % [INFO] nitpick registered as external prover.
% 1.67/1.20 % [INFO] Scanning for conjecture ...
% 1.83/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.83/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.83/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.83/1.29 % [INFO] Type checking passed.
% 1.83/1.30 % [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 ...
% 2.79/1.64 % [INFO] Killing All external provers ...
% 2.79/1.64 % Time passed: 1101ms (effective reasoning time: 659ms)
% 2.79/1.64 % 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)>
% 2.79/1.64 % Axioms used in derivation (0):
% 2.79/1.64 % No. of inferences in proof: 16
% 2.79/1.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1101 ms resp. 659 ms w/o parsing
% 2.79/1.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.79/1.69 % [INFO] Killing All external provers ...
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