TSTP Solution File: LCL943^24 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : LCL943^24 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n002.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 00:11:38 EDT 2024
% Result : Theorem 4.90s 2.33s
% Output : Refutation 4.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 41 ( 14 unt; 15 typ; 4 def)
% Number of atoms : 114 ( 5 equ; 0 cnn)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 181 ( 19 ~; 23 |; 0 &; 124 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 14 usr; 7 con; 0-3 aty)
% Number of variables : 47 ( 9 ^ 38 !; 0 ?; 47 :)
% 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(mor_type,type,
mor: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mor_def,definition,
( mor
= ( ^ [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(p_type,type,
p: mworld > $o ).
thf(q_type,type,
q: mworld > $o ).
thf(r_type,type,
r: mworld > $o ).
thf(sk1_type,type,
sk1: mworld ).
thf(sk3_type,type,
sk3: mworld > mworld ).
thf(sk4_type,type,
sk4: mworld ).
thf(sk5_type,type,
sk5: mworld ).
thf(sk6_type,type,
sk6: mworld ).
thf(1,conjecture,
mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel5) ).
thf(2,negated_conjecture,
~ ( mlocal @ ( mbox @ ( mimplies @ ( mbox @ ( mimplies @ ( mor @ ( mbox @ p ) @ ( mbox @ q ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ r ) ) ) ) @ ( mor @ ( mbox @ p ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ r ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ( ! [B: mworld] :
( ( mrel @ A @ B )
=> ( ( ! [C: mworld] :
( ( mrel @ B @ C )
=> ( p @ C ) )
| ! [C: mworld] :
( ( mrel @ B @ C )
=> ( q @ C ) ) )
=> ( ! [C: mworld] :
( ( mrel @ B @ C )
=> ( p @ C ) )
| ! [C: mworld] :
( ( mrel @ B @ C )
=> ( r @ C ) ) ) ) )
=> ( ! [B: mworld] :
( ( mrel @ A @ B )
=> ( p @ B ) )
| ! [B: mworld] :
( ( mrel @ A @ B )
=> ( ! [C: mworld] :
( ( mrel @ B @ C )
=> ( q @ C ) )
=> ! [C: mworld] :
( ( mrel @ B @ C )
=> ( r @ C ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
~ ( p @ sk4 ),
inference(cnf,[status(esa)],[4]) ).
thf(11,plain,
! [C: mworld,B: mworld,A: mworld] :
( ~ ( mrel @ sk1 @ A )
| ~ ( q @ ( sk3 @ A ) )
| ~ ( mrel @ A @ B )
| ( p @ B )
| ~ ( mrel @ A @ C )
| ( r @ C ) ),
inference(cnf,[status(esa)],[4]) ).
thf(3,axiom,
! [A: mworld,B: mworld] : ( mrel @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_universal) ).
thf(17,plain,
! [A: mworld,B: mworld] : ( mrel @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(18,plain,
! [B: mworld,A: mworld] : ( mrel @ A @ B ),
inference(cnf,[status(esa)],[17]) ).
thf(158,plain,
! [C: mworld,B: mworld,A: mworld] :
( ~ $true
| ~ ( q @ ( sk3 @ A ) )
| ~ $true
| ( p @ B )
| ~ $true
| ( r @ C ) ),
inference(rewrite,[status(thm)],[11,18]) ).
thf(159,plain,
! [C: mworld,B: mworld,A: mworld] :
( ~ ( q @ ( sk3 @ A ) )
| ( p @ B )
| ( r @ C ) ),
inference(simp,[status(thm)],[158]) ).
thf(7,plain,
! [A: mworld] :
( ~ ( mrel @ sk5 @ A )
| ( q @ A ) ),
inference(cnf,[status(esa)],[4]) ).
thf(16,plain,
! [A: mworld] :
( ~ ( mrel @ sk5 @ A )
| ( q @ A ) ),
inference(simp,[status(thm)],[7]) ).
thf(156,plain,
! [A: mworld] :
( ~ $true
| ( q @ A ) ),
inference(rewrite,[status(thm)],[16,18]) ).
thf(157,plain,
! [A: mworld] : ( q @ A ),
inference(simp,[status(thm)],[156]) ).
thf(184,plain,
! [B: mworld,A: mworld] :
( ~ $true
| ( p @ A )
| ( r @ B ) ),
inference(rewrite,[status(thm)],[159,157]) ).
thf(185,plain,
! [B: mworld,A: mworld] :
( ( p @ A )
| ( r @ B ) ),
inference(simp,[status(thm)],[184]) ).
thf(9,plain,
~ ( r @ sk6 ),
inference(cnf,[status(esa)],[4]) ).
thf(187,plain,
! [B: mworld,A: mworld] :
( ( p @ A )
| ( ( r @ B )
!= ( r @ sk6 ) ) ),
inference(paramod_ordered,[status(thm)],[185,9]) ).
thf(188,plain,
! [A: mworld] : ( p @ A ),
inference(pattern_uni,[status(thm)],[187:[bind(A,$thf( A )),bind(B,$thf( sk6 ))]]) ).
thf(191,plain,
! [A: mworld] : ( p @ A ),
inference(simp,[status(thm)],[188]) ).
thf(193,plain,
~ $true,
inference(rewrite,[status(thm)],[10,191]) ).
thf(194,plain,
$false,
inference(simp,[status(thm)],[193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL943^24 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.16/0.35 % Computer : n002.cluster.edu
% 0.16/0.35 % Model : x86_64 x86_64
% 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35 % Memory : 8042.1875MB
% 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35 % CPULimit : 300
% 0.16/0.35 % WCLimit : 300
% 0.16/0.35 % DateTime : Mon May 20 01:50:24 EDT 2024
% 0.16/0.35 % CPUTime :
% 0.91/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.22/0.95 % [INFO] Parsing done (110ms).
% 1.22/0.96 % [INFO] Running in sequential loop mode.
% 1.59/1.16 % [INFO] nitpick registered as external prover.
% 1.59/1.16 % [INFO] Scanning for conjecture ...
% 1.88/1.26 % [INFO] Found a conjecture (or negated_conjecture) and 1 axioms. Running axiom selection ...
% 1.93/1.29 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 1.93/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.93/1.30 % [INFO] Type checking passed.
% 1.93/1.30 % [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 ...
% 4.90/2.32 % [INFO] Killing All external provers ...
% 4.90/2.32 % Time passed: 1820ms (effective reasoning time: 1363ms)
% 4.90/2.32 % 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)>
% 4.90/2.33 % Axioms used in derivation (1): mrel_universal
% 4.90/2.33 % No. of inferences in proof: 22
% 4.90/2.33 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1820 ms resp. 1363 ms w/o parsing
% 4.92/2.36 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.92/2.36 % [INFO] Killing All external provers ...
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