TSTP Solution File: DAT334^12 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : DAT334^12 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n010.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 7 10:30:26 EDT 2024
% Result : Theorem 4.44s 2.38s
% Output : Refutation 4.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 24
% Syntax : Number of formulae : 40 ( 12 unt; 17 typ; 4 def)
% Number of atoms : 59 ( 5 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 136 ( 12 ~; 6 |; 7 &; 108 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 10 con; 0-3 aty)
% Number of variables : 32 ( 11 ^ 18 !; 3 ?; 32 :)
% 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(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(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(eiw_di_type,type,
eiw_di: $i > mworld > $o ).
thf(mexists_di_type,type,
mexists_di: ( $i > mworld > $o ) > mworld > $o ).
thf(mexists_di_def,definition,
( mexists_di
= ( ^ [A: $i > mworld > $o,B: mworld] :
? [C: $i] :
( ( eiw_di @ C @ B )
& ( A @ C @ B ) ) ) ) ).
thf(cs_type,type,
cs: $i ).
thf(sue_type,type,
sue: $i ).
thf(mary_type,type,
mary: $i ).
thf(john_type,type,
john: $i ).
thf(math_type,type,
math: $i ).
thf(psych_type,type,
psych: $i ).
thf(teach_type,type,
teach: $i > $i > mworld > $o ).
thf(sk1_type,type,
sk1: mworld ).
thf(sk3_type,type,
sk3: mworld > $i ).
thf(5,axiom,
( mlocal
@ ( mbox
@ ( mand @ ( teach @ john @ math )
@ ( mand
@ ( mexists_di
@ ^ [A: $i] : ( teach @ A @ cs ) )
@ ( mand @ ( teach @ mary @ psych ) @ ( teach @ sue @ psych ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',db) ).
thf(13,plain,
! [A: mworld] :
( ( mrel @ mactual @ A )
=> ( ( teach @ john @ math @ A )
& ? [B: $i] :
( ( eiw_di @ B @ A )
& ( teach @ B @ cs @ A ) )
& ( teach @ mary @ psych @ A )
& ( teach @ sue @ psych @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(14,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ( teach @ ( sk3 @ A ) @ cs @ A ) ),
inference(cnf,[status(esa)],[13]) ).
thf(3,axiom,
! [A: mworld,B: mworld] : ( mrel @ A @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mrel_universal) ).
thf(9,plain,
! [A: mworld,B: mworld] : ( mrel @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(10,plain,
! [B: mworld,A: mworld] : ( mrel @ A @ B ),
inference(cnf,[status(esa)],[9]) ).
thf(41,plain,
! [A: mworld] :
( ~ $true
| ( teach @ ( sk3 @ A ) @ cs @ A ) ),
inference(rewrite,[status(thm)],[14,10]) ).
thf(42,plain,
! [A: mworld] : ( teach @ ( sk3 @ A ) @ cs @ A ),
inference(simp,[status(thm)],[41]) ).
thf(1,conjecture,
( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [A: $i] : ( teach @ A @ cs ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query) ).
thf(2,negated_conjecture,
~ ( mlocal
@ ( mbox
@ ( mexists_di
@ ^ [A: $i] : ( teach @ A @ cs ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ? [B: $i] :
( ( eiw_di @ B @ A )
& ( teach @ B @ cs @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(7,plain,
! [A: $i] :
( ~ ( eiw_di @ A @ sk1 )
| ~ ( teach @ A @ cs @ sk1 ) ),
inference(cnf,[status(esa)],[6]) ).
thf(43,plain,
! [B: $i,A: mworld] :
( ~ ( eiw_di @ B @ sk1 )
| ( ( teach @ ( sk3 @ A ) @ cs @ A )
!= ( teach @ B @ cs @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[42,7]) ).
thf(44,plain,
~ ( eiw_di @ ( sk3 @ sk1 ) @ sk1 ),
inference(pattern_uni,[status(thm)],[43:[bind(A,$thf( sk1 )),bind(B,$thf( sk3 @ sk1 ))]]) ).
thf(15,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ( eiw_di @ ( sk3 @ A ) @ A ) ),
inference(cnf,[status(esa)],[13]) ).
thf(62,plain,
! [A: mworld] :
( ~ $true
| ( eiw_di @ ( sk3 @ A ) @ A ) ),
inference(rewrite,[status(thm)],[15,10]) ).
thf(63,plain,
! [A: mworld] : ( eiw_di @ ( sk3 @ A ) @ A ),
inference(simp,[status(thm)],[62]) ).
thf(64,plain,
~ $true,
inference(rewrite,[status(thm)],[44,63]) ).
thf(65,plain,
$false,
inference(simp,[status(thm)],[64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : DAT334^12 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.12 % Command : run_Leo-III %s %d
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon May 6 18:44:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.91/0.91 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.28/1.10 % [INFO] Parsing done (185ms).
% 1.28/1.11 % [INFO] Running in sequential loop mode.
% 1.94/1.44 % [INFO] nitpick registered as external prover.
% 1.94/1.44 % [INFO] Scanning for conjecture ...
% 2.18/1.56 % [INFO] Found a conjecture and 3 axioms. Running axiom selection ...
% 2.28/1.59 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.28/1.60 % [INFO] Problem is higher-order (TPTP THF).
% 2.28/1.60 % [INFO] Type checking passed.
% 2.28/1.61 % [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 ...
% 4.44/2.37 % [INFO] Killing All external provers ...
% 4.44/2.38 % Time passed: 1917ms (effective reasoning time: 1260ms)
% 4.44/2.38 % 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)>
% 4.44/2.38 % Axioms used in derivation (2): db, mrel_universal
% 4.44/2.38 % No. of inferences in proof: 19
% 4.44/2.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1917 ms resp. 1260 ms w/o parsing
% 4.44/2.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.44/2.43 % [INFO] Killing All external provers ...
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