TSTP Solution File: LCL962^16 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : LCL962^16 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n019.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 00:11:42 EDT 2024
% Result : Theorem 8.81s 2.76s
% Output : Refutation 8.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 22
% Syntax : Number of formulae : 51 ( 14 unt; 13 typ; 4 def)
% Number of atoms : 116 ( 9 equ; 0 cnn)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 281 ( 37 ~; 34 |; 0 &; 200 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 6 con; 0-3 aty)
% Number of variables : 37 ( 9 ^ 28 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mindex_type,type,
mindex: $tType ).
thf(mrel_type,type,
mrel: mindex > mworld > mworld > $o ).
thf('\'#b\'_type',type,
'\'#b\'': mindex ).
thf('\'#a\'_type',type,
'\'#a\'': mindex ).
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(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: mindex > ( mworld > $o ) > mworld > $o ).
thf(mbox_def,definition,
( mbox
= ( ^ [A: mindex,B: mworld > $o,C: mworld] :
! [D: mworld] :
( ( mrel @ A @ C @ D )
=> ( B @ D ) ) ) ) ).
thf(p_type,type,
p: mworld > $o ).
thf(sk1_type,type,
sk1: mworld ).
thf(sk2_type,type,
sk2: mworld > mworld ).
thf(3,axiom,
! [A: mworld] : ( mrel @ '\'#b\'' @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_#b_reflexive') ).
thf(13,plain,
! [A: mworld] : ( mrel @ '\'#b\'' @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,plain,
! [A: mworld] : ( mrel @ '\'#b\'' @ A @ A ),
inference(cnf,[status(esa)],[13]) ).
thf(1,conjecture,
mlocal @ ( mbox @ '\'#a\'' @ ( mnot @ p ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
~ ( mlocal @ ( mbox @ '\'#a\'' @ ( mnot @ p ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(10,plain,
~ ! [A: mworld] :
( ( mrel @ '\'#a\'' @ mactual @ A )
=> ~ ( p @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(12,plain,
mrel @ '\'#a\'' @ mactual @ sk1,
inference(cnf,[status(esa)],[10]) ).
thf(8,axiom,
mlocal @ ( mimplies @ ( mnot @ ( mbox @ '\'#b\'' @ p ) ) @ ( mbox @ '\'#a\'' @ ( mnot @ ( mbox @ '\'#b\'' @ p ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_axiom_2) ).
thf(23,plain,
( ~ ! [A: mworld] :
( ( mrel @ '\'#b\'' @ mactual @ A )
=> ( p @ A ) )
=> ! [A: mworld] :
( ( mrel @ '\'#a\'' @ mactual @ A )
=> ~ ! [B: mworld] :
( ( mrel @ '\'#b\'' @ A @ B )
=> ( p @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(25,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ '\'#b\'' @ mactual @ A )
| ( p @ A )
| ~ ( mrel @ '\'#a\'' @ mactual @ B )
| ( mrel @ '\'#b\'' @ B @ ( sk2 @ B ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(116,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ '\'#b\'' @ mactual @ A )
| ( p @ A )
| ( mrel @ '\'#b\'' @ B @ ( sk2 @ B ) )
| ( ( mrel @ '\'#a\'' @ mactual @ sk1 )
!= ( mrel @ '\'#a\'' @ mactual @ B ) ) ),
inference(paramod_ordered,[status(thm)],[12,25]) ).
thf(117,plain,
! [A: mworld] :
( ~ ( mrel @ '\'#b\'' @ mactual @ A )
| ( p @ A )
| ( mrel @ '\'#b\'' @ sk1 @ ( sk2 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[116:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(242,plain,
! [B: mworld,A: mworld] :
( ( p @ B )
| ( mrel @ '\'#b\'' @ sk1 @ ( sk2 @ sk1 ) )
| ( ( mrel @ '\'#b\'' @ A @ A )
!= ( mrel @ '\'#b\'' @ mactual @ B ) ) ),
inference(paramod_ordered,[status(thm)],[14,117]) ).
thf(243,plain,
( ( p @ mactual )
| ( mrel @ '\'#b\'' @ sk1 @ ( sk2 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[242:[bind(A,$thf( mactual )),bind(B,$thf( mactual ))]]) ).
thf(9,axiom,
mlocal @ ( mnot @ p ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_a_axiom_1) ).
thf(26,plain,
~ ( p @ mactual ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(27,plain,
~ ( p @ mactual ),
inference(polarity_switch,[status(thm)],[26]) ).
thf(286,plain,
( $false
| ( mrel @ '\'#b\'' @ sk1 @ ( sk2 @ sk1 ) ) ),
inference(rewrite,[status(thm)],[243,27]) ).
thf(287,plain,
mrel @ '\'#b\'' @ sk1 @ ( sk2 @ sk1 ),
inference(simp,[status(thm)],[286]) ).
thf(7,axiom,
mlocal @ ( mbox @ '\'#a\'' @ ( mimplies @ p @ ( mbox @ '\'#b\'' @ p ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_axiom_1) ).
thf(21,plain,
! [A: mworld] :
( ( mrel @ '\'#a\'' @ mactual @ A )
=> ( ( p @ A )
=> ! [B: mworld] :
( ( mrel @ '\'#b\'' @ A @ B )
=> ( p @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(22,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ '\'#a\'' @ mactual @ A )
| ~ ( p @ A )
| ~ ( mrel @ '\'#b\'' @ A @ B )
| ( p @ B ) ),
inference(cnf,[status(esa)],[21]) ).
thf(335,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ '\'#a\'' @ mactual @ A )
| ~ ( p @ A )
| ( p @ B )
| ( ( mrel @ '\'#b\'' @ sk1 @ ( sk2 @ sk1 ) )
!= ( mrel @ '\'#b\'' @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[287,22]) ).
thf(336,plain,
( ~ ( mrel @ '\'#a\'' @ mactual @ sk1 )
| ~ ( p @ sk1 )
| ( p @ ( sk2 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[335:[bind(A,$thf( sk1 )),bind(B,$thf( sk2 @ sk1 ))]]) ).
thf(24,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ '\'#b\'' @ mactual @ A )
| ( p @ A )
| ~ ( mrel @ '\'#a\'' @ mactual @ B )
| ~ ( p @ ( sk2 @ B ) ) ),
inference(cnf,[status(esa)],[23]) ).
thf(31,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ '\'#b\'' @ mactual @ A )
| ( p @ A )
| ~ ( p @ ( sk2 @ B ) )
| ( ( mrel @ '\'#a\'' @ mactual @ sk1 )
!= ( mrel @ '\'#a\'' @ mactual @ B ) ) ),
inference(paramod_ordered,[status(thm)],[12,24]) ).
thf(32,plain,
! [A: mworld] :
( ~ ( mrel @ '\'#b\'' @ mactual @ A )
| ( p @ A )
| ~ ( p @ ( sk2 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[31:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).
thf(48,plain,
! [B: mworld,A: mworld] :
( ( p @ B )
| ~ ( p @ ( sk2 @ sk1 ) )
| ( ( mrel @ '\'#b\'' @ A @ A )
!= ( mrel @ '\'#b\'' @ mactual @ B ) ) ),
inference(paramod_ordered,[status(thm)],[14,32]) ).
thf(49,plain,
( ( p @ mactual )
| ~ ( p @ ( sk2 @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[48:[bind(A,$thf( mactual )),bind(B,$thf( mactual ))]]) ).
thf(55,plain,
( $false
| ~ ( p @ ( sk2 @ sk1 ) ) ),
inference(rewrite,[status(thm)],[49,27]) ).
thf(56,plain,
~ ( p @ ( sk2 @ sk1 ) ),
inference(simp,[status(thm)],[55]) ).
thf(11,plain,
p @ sk1,
inference(cnf,[status(esa)],[10]) ).
thf(1157,plain,
( ~ $true
| ~ $true
| $false ),
inference(rewrite,[status(thm)],[336,56,11,12]) ).
thf(1158,plain,
$false,
inference(simp,[status(thm)],[1157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL962^16 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 02:25:39 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.92/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.21/1.05 % [INFO] Parsing done (149ms).
% 1.21/1.06 % [INFO] Running in sequential loop mode.
% 1.72/1.27 % [INFO] nitpick registered as external prover.
% 1.72/1.27 % [INFO] Scanning for conjecture ...
% 1.82/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 7 axioms. Running axiom selection ...
% 2.01/1.36 % [INFO] Axiom selection finished. Selected 7 axioms (removed 0 axioms).
% 2.08/1.37 % [INFO] Problem is higher-order (TPTP THF).
% 2.08/1.37 % [INFO] Type checking passed.
% 2.08/1.37 % [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 ...
% 8.81/2.74 % [INFO] Killing All external provers ...
% 8.81/2.76 % Time passed: 2210ms (effective reasoning time: 1682ms)
% 8.81/2.76 % 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)>
% 8.81/2.76 % Axioms used in derivation (4): mrel_#b_reflexive, ab_axiom_2, not_a_axiom_1, ab_axiom_1
% 8.81/2.76 % No. of inferences in proof: 34
% 8.81/2.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2210 ms resp. 1682 ms w/o parsing
% 8.81/2.82 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.81/2.82 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------