TSTP Solution File: DAT334^23 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : DAT334^23 : TPTP v8.1.2. 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 7 10:30:26 EDT 2024
% Result : Theorem 5.27s 2.22s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 23
% Syntax : Number of formulae : 38 ( 10 unt; 17 typ; 4 def)
% Number of atoms : 61 ( 7 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 142 ( 14 ~; 6 |; 7 &; 112 @)
% ( 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 : 23 ( 11 ^ 9 !; 3 ?; 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(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(7,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(19,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)],[7]) ).
thf(21,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ( eiw_di @ ( sk3 @ A ) @ A ) ),
inference(cnf,[status(esa)],[19]) ).
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(8,plain,
~ ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ? [B: $i] :
( ( eiw_di @ B @ A )
& ( teach @ B @ cs @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(10,plain,
mrel @ mactual @ sk1,
inference(cnf,[status(esa)],[8]) ).
thf(20,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ( teach @ ( sk3 @ A ) @ cs @ A ) ),
inference(cnf,[status(esa)],[19]) ).
thf(166,plain,
! [A: mworld] :
( ( teach @ ( sk3 @ A ) @ cs @ A )
| ( ( mrel @ mactual @ sk1 )
!= ( mrel @ mactual @ A ) ) ),
inference(paramod_ordered,[status(thm)],[10,20]) ).
thf(167,plain,
teach @ ( sk3 @ sk1 ) @ cs @ sk1,
inference(pattern_uni,[status(thm)],[166:[bind(A,$thf( sk1 ))]]) ).
thf(9,plain,
! [A: $i] :
( ~ ( eiw_di @ A @ sk1 )
| ~ ( teach @ A @ cs @ sk1 ) ),
inference(cnf,[status(esa)],[8]) ).
thf(198,plain,
! [A: $i] :
( ~ ( eiw_di @ A @ sk1 )
| ( ( teach @ ( sk3 @ sk1 ) @ cs @ sk1 )
!= ( teach @ A @ cs @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[167,9]) ).
thf(199,plain,
~ ( eiw_di @ ( sk3 @ sk1 ) @ sk1 ),
inference(pattern_uni,[status(thm)],[198:[bind(A,$thf( sk3 @ sk1 ))]]) ).
thf(238,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ( ( eiw_di @ ( sk3 @ A ) @ A )
!= ( eiw_di @ ( sk3 @ sk1 ) @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[21,199]) ).
thf(239,plain,
~ ( mrel @ mactual @ sk1 ),
inference(pattern_uni,[status(thm)],[238:[bind(A,$thf( sk1 ))]]) ).
thf(248,plain,
~ $true,
inference(rewrite,[status(thm)],[239,10]) ).
thf(249,plain,
$false,
inference(simp,[status(thm)],[248]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : DAT334^23 : TPTP v8.1.2. Released v8.1.0.
% 0.12/0.14 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n002.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 6 18:41:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.80/0.80 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.01/0.94 % [INFO] Parsing done (137ms).
% 1.21/0.95 % [INFO] Running in sequential loop mode.
% 1.57/1.18 % [INFO] nitpick registered as external prover.
% 1.57/1.18 % [INFO] Scanning for conjecture ...
% 1.81/1.26 % [INFO] Found a conjecture and 5 axioms. Running axiom selection ...
% 1.81/1.29 % [INFO] Axiom selection finished. Selected 5 axioms (removed 0 axioms).
% 1.81/1.30 % [INFO] Problem is higher-order (TPTP THF).
% 1.81/1.30 % [INFO] Type checking passed.
% 1.81/1.30 % [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 ...
% 5.27/2.21 % [INFO] Killing All external provers ...
% 5.27/2.22 % Time passed: 1757ms (effective reasoning time: 1258ms)
% 5.27/2.22 % 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)>
% 5.27/2.22 % Axioms used in derivation (1): db
% 5.27/2.22 % No. of inferences in proof: 17
% 5.27/2.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1757 ms resp. 1258 ms w/o parsing
% 5.27/2.26 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.27/2.26 % [INFO] Killing All external provers ...
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