TSTP Solution File: SYO901^11 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO901^11 : TPTP v8.2.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n025.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 09:02:02 EDT 2024
% Result : Theorem 9.57s 2.86s
% Output : Refutation 9.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 18
% Syntax : Number of formulae : 48 ( 18 unt; 11 typ; 4 def)
% Number of atoms : 142 ( 24 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 247 ( 32 ~; 20 |; 2 &; 174 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 52 ( 11 ^ 41 !; 0 ?; 52 :)
% 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(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(mequiv_type,type,
mequiv: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).
thf(mequiv_def,definition,
( mequiv
= ( ^ [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 > $o ).
thf(sk1_type,type,
sk1: mworld ).
thf(sk4_type,type,
sk4: mworld ).
thf(3,axiom,
! [A: mworld] : ( mrel @ A @ A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_reflexive) ).
thf(11,plain,
! [A: mworld] : ( mrel @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(12,plain,
! [A: mworld] : ( mrel @ A @ A ),
inference(cnf,[status(esa)],[11]) ).
thf(4,axiom,
! [A: mworld,B: mworld,C: mworld] :
( ( ( mrel @ A @ C )
& ( mrel @ A @ B ) )
=> ( mrel @ C @ B ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mrel_euclidean) ).
thf(13,plain,
! [A: mworld,B: mworld,C: mworld] :
( ( ( mrel @ A @ C )
& ( mrel @ A @ B ) )
=> ( mrel @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(14,plain,
! [C: mworld,B: mworld,A: mworld] :
( ~ ( mrel @ A @ C )
| ~ ( mrel @ A @ B )
| ( mrel @ C @ B ) ),
inference(cnf,[status(esa)],[13]) ).
thf(96,plain,
! [D: mworld,C: mworld,B: mworld,A: mworld] :
( ~ ( mrel @ B @ D )
| ( mrel @ D @ C )
| ( ( mrel @ A @ A )
!= ( mrel @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[12,14]) ).
thf(97,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ A @ B )
| ( mrel @ B @ A ) ),
inference(pattern_uni,[status(thm)],[96:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( A ))]]) ).
thf(108,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ A @ B )
| ( mrel @ B @ A ) ),
inference(simp,[status(thm)],[97]) ).
thf(1,conjecture,
mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
thf(2,negated_conjecture,
~ ( mlocal @ ( mimplies @ ( mbox @ ( mequiv @ p @ q ) ) @ ( mbox @ ( mequiv @ ( mbox @ p ) @ ( mbox @ q ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(5,plain,
~ ( ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ( ( p @ A )
= ( q @ A ) ) )
=> ! [A: mworld] :
( ( mrel @ mactual @ A )
=> ( ( ! [B: mworld] :
( ( mrel @ A @ B )
=> ( p @ B ) ) )
= ( ! [B: mworld] :
( ( mrel @ A @ B )
=> ( q @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
( ( ! [A: mworld] :
( ( mrel @ sk1 @ A )
=> ( p @ A ) ) )
!= ( ! [A: mworld] :
( ( mrel @ sk1 @ A )
=> ( q @ A ) ) ) ),
inference(cnf,[status(esa)],[5]) ).
thf(9,plain,
( ( ! [A: mworld] :
( ( mrel @ sk1 @ A )
=> ( q @ A ) ) )
!= ( ! [A: mworld] :
( ( mrel @ sk1 @ A )
=> ( p @ A ) ) ) ),
inference(lifteq,[status(thm)],[6]) ).
thf(15,plain,
( ( ^ [A: mworld] :
( ( mrel @ sk1 @ A )
=> ( q @ A ) ) )
!= ( ^ [A: mworld] :
( ( mrel @ sk1 @ A )
=> ( p @ A ) ) ) ),
inference(simp,[status(thm)],[9]) ).
thf(24,plain,
( ( ( mrel @ sk1 @ sk4 )
=> ( q @ sk4 ) )
!= ( ( mrel @ sk1 @ sk4 )
=> ( p @ sk4 ) ) ),
inference(func_ext,[status(esa)],[15]) ).
thf(116,plain,
( ~ ( ( mrel @ sk1 @ sk4 )
=> ( q @ sk4 ) )
| ~ ( ( mrel @ sk1 @ sk4 )
=> ( p @ sk4 ) ) ),
inference(bool_ext,[status(thm)],[24]) ).
thf(146,plain,
( ( mrel @ sk1 @ sk4 )
| ( mrel @ sk1 @ sk4 ) ),
inference(cnf,[status(esa)],[116]) ).
thf(148,plain,
mrel @ sk1 @ sk4,
inference(simp,[status(thm)],[146]) ).
thf(8,plain,
! [A: mworld] :
( ~ ( mrel @ mactual @ A )
| ( ( p @ A )
= ( q @ A ) ) ),
inference(cnf,[status(esa)],[5]) ).
thf(10,plain,
! [A: mworld] :
( ( ( q @ A )
= ( p @ A ) )
| ~ ( mrel @ mactual @ A ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(88,plain,
! [D: mworld,C: mworld,B: mworld,A: mworld] :
( ~ ( mrel @ A @ C )
| ~ ( mrel @ A @ B )
| ( ( q @ D )
= ( p @ D ) )
| ( ( mrel @ C @ B )
!= ( mrel @ mactual @ D ) ) ),
inference(paramod_ordered,[status(thm)],[14,10]) ).
thf(89,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ A @ mactual )
| ~ ( mrel @ A @ B )
| ( ( q @ B )
= ( p @ B ) ) ),
inference(pattern_uni,[status(thm)],[88:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( mactual )),bind(D,$thf( B ))]]) ).
thf(744,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ A @ mactual )
| ( ( q @ B )
= ( p @ B ) )
| ( ( mrel @ sk1 @ sk4 )
!= ( mrel @ A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[148,89]) ).
thf(745,plain,
( ~ ( mrel @ sk1 @ mactual )
| ( ( q @ sk4 )
= ( p @ sk4 ) ) ),
inference(pattern_uni,[status(thm)],[744:[bind(A,$thf( sk1 )),bind(B,$thf( sk4 ))]]) ).
thf(115,plain,
( ( ( mrel @ sk1 @ sk4 )
!= ( mrel @ sk1 @ sk4 ) )
| ( ( q @ sk4 )
!= ( p @ sk4 ) ) ),
inference(simp,[status(thm)],[24]) ).
thf(143,plain,
( ( q @ sk4 )
!= ( p @ sk4 ) ),
inference(simp,[status(thm)],[115]) ).
thf(782,plain,
~ ( mrel @ sk1 @ mactual ),
inference(simplifyReflect,[status(thm)],[745,143]) ).
thf(961,plain,
! [B: mworld,A: mworld] :
( ~ ( mrel @ A @ B )
| ( ( mrel @ B @ A )
!= ( mrel @ sk1 @ mactual ) ) ),
inference(paramod_ordered,[status(thm)],[108,782]) ).
thf(962,plain,
~ ( mrel @ mactual @ sk1 ),
inference(pattern_uni,[status(thm)],[961:[bind(A,$thf( mactual )),bind(B,$thf( sk1 ))]]) ).
thf(7,plain,
mrel @ mactual @ sk1,
inference(cnf,[status(esa)],[5]) ).
thf(1000,plain,
~ $true,
inference(rewrite,[status(thm)],[962,7]) ).
thf(1001,plain,
$false,
inference(simp,[status(thm)],[1000]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO901^11 : TPTP v8.2.0. Released v8.1.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.14/0.36 % Computer : n025.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon May 20 10:03:53 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.98/0.86 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/0.99 % [INFO] Parsing done (122ms).
% 1.15/1.00 % [INFO] Running in sequential loop mode.
% 1.71/1.22 % [INFO] nitpick registered as external prover.
% 1.71/1.22 % [INFO] Scanning for conjecture ...
% 1.81/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ...
% 1.97/1.32 % [INFO] Axiom selection finished. Selected 2 axioms (removed 0 axioms).
% 1.97/1.32 % [INFO] Problem is higher-order (TPTP THF).
% 1.97/1.32 % [INFO] Type checking passed.
% 1.97/1.33 % [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 ...
% 9.57/2.85 % [INFO] Killing All external provers ...
% 9.57/2.86 % Time passed: 2327ms (effective reasoning time: 1855ms)
% 9.57/2.86 % 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)>
% 9.57/2.86 % Axioms used in derivation (2): mrel_reflexive, mrel_euclidean
% 9.57/2.86 % No. of inferences in proof: 33
% 9.57/2.86 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 2327 ms resp. 1855 ms w/o parsing
% 9.57/2.96 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 9.57/2.96 % [INFO] Killing All external provers ...
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