TSTP Solution File: PUZ150^18 by Leo-III-SAT---1.7.15
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : PUZ150^18 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n027.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 : Mon Jun 24 13:48:56 EDT 2024
% Result : Theorem 3.57s 1.97s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 17 ( 11 unt; 0 typ; 4 def)
% Number of atoms : 46 ( 5 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 87 ( 11 ~; 2 |; 3 &; 68 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 7 con; 0-3 aty)
% Number of variables : 23 ( 9 ^ 11 !; 3 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(mworld_type,type,
mworld: $tType ).
thf(mindex_type,type,
mindex: $tType ).
thf(mrel_type,type,
mrel: mindex > mworld > mworld > $o ).
thf('\'#c\'_type',type,
'\'#c\'': mindex ).
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(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(mdia_type,type,
mdia: mindex > ( mworld > $o ) > mworld > $o ).
thf(mdia_def,definition,
( mdia
= ( ^ [A: mindex,B: mworld > $o,C: mworld] :
? [D: mworld] :
( ( mrel @ A @ C @ D )
& ( B @ D ) ) ) ) ).
thf(a0_type,type,
a0: mworld > $o ).
thf(sk3_type,type,
sk3: mworld ).
thf(13,axiom,
mlocal @ a0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a0) ).
thf(39,plain,
a0 @ mactual,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(1,conjecture,
mlocal @ ( mbox @ '\'#b\'' @ ( mnot @ ( mdia @ '\'#a\'' @ ( mdia @ '\'#b\'' @ ( mbox @ '\'#c\'' @ ( mnot @ a0 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( mlocal @ ( mbox @ '\'#b\'' @ ( mnot @ ( mdia @ '\'#a\'' @ ( mdia @ '\'#b\'' @ ( mbox @ '\'#c\'' @ ( mnot @ a0 ) ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(14,plain,
~ ! [A: mworld] :
( ( mrel @ '\'#b\'' @ mactual @ A )
=> ~ ? [B: mworld] :
( ( mrel @ '\'#a\'' @ A @ B )
& ? [C: mworld] :
( ( mrel @ '\'#b\'' @ B @ C )
& ! [D: mworld] :
( ( mrel @ '\'#c\'' @ C @ D )
=> ~ ( a0 @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(15,plain,
! [A: mworld] :
( ~ ( mrel @ '\'#c\'' @ sk3 @ A )
| ~ ( a0 @ A ) ),
inference(cnf,[status(esa)],[14]) ).
thf(41,plain,
! [A: mworld] :
( ~ ( mrel @ '\'#c\'' @ sk3 @ A )
| ( ( a0 @ mactual )
!= ( a0 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[39,15]) ).
thf(42,plain,
~ ( mrel @ '\'#c\'' @ sk3 @ mactual ),
inference(pattern_uni,[status(thm)],[41:[bind(A,$thf( mactual ))]]) ).
thf(3,axiom,
! [A: mworld,B: mworld] : ( mrel @ '\'#c\'' @ A @ B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','mrel_#c_universal') ).
thf(19,plain,
! [A: mworld,B: mworld] : ( mrel @ '\'#c\'' @ A @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(20,plain,
! [B: mworld,A: mworld] : ( mrel @ '\'#c\'' @ A @ B ),
inference(cnf,[status(esa)],[19]) ).
thf(57,plain,
~ $true,
inference(rewrite,[status(thm)],[42,20]) ).
thf(58,plain,
$false,
inference(simp,[status(thm)],[57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PUZ150^18 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.13 % Command : run_Leo-III %s %d SAT
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Jun 18 09:56:25 EDT 2024
% 0.12/0.34 % CPUTime :
% 1.05/0.95 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.47/1.10 % [INFO] Parsing done (146ms).
% 1.47/1.11 % [INFO] Running in sequential loop mode.
% 1.90/1.34 % [INFO] nitpick registered as external prover.
% 1.90/1.34 % [INFO] Scanning for conjecture ...
% 2.07/1.42 % [INFO] Found a conjecture (or negated_conjecture) and 11 axioms. Running axiom selection ...
% 2.07/1.43 % [INFO] Axiom selection finished. Selected 11 axioms (removed 0 axioms).
% 2.07/1.45 % [INFO] Problem is higher-order (TPTP THF).
% 2.07/1.45 % [INFO] Type checking passed.
% 2.07/1.45 % [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 ...
% 3.57/1.97 % [INFO] Killing All external provers ...
% 3.57/1.97 % Time passed: 1420ms (effective reasoning time: 857ms)
% 3.57/1.97 % 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)>
% 3.57/1.97 % Axioms used in derivation (2): axiom_a0, mrel_#c_universal
% 3.57/1.97 % No. of inferences in proof: 13
% 3.57/1.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1420 ms resp. 857 ms w/o parsing
% 3.75/2.00 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.75/2.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------