TSTP Solution File: SYO487^6 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO487^6 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n014.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 09:00:40 EDT 2024
% Result : Theorem 3.17s 1.66s
% Output : Refutation 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of formulae : 26 ( 10 unt; 10 typ; 5 def)
% Number of atoms : 52 ( 6 equ; 0 cnn)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 77 ( 15 ~; 6 |; 0 &; 56 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 16 ( 13 usr; 8 con; 0-3 aty)
% Number of variables : 22 ( 8 ^ 14 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(mu_type,type,
mu: $tType ).
thf(mimplies_type,type,
mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).
thf(mimplies_def,definition,
( mimplies
= ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).
thf(mforall_ind_type,type,
mforall_ind: ( mu > $i > $o ) > $i > $o ).
thf(mforall_ind_def,definition,
( mforall_ind
= ( ^ [A: mu > $i > $o,B: $i] :
! [C: mu] : ( A @ C @ B ) ) ) ).
thf(mexists_ind_type,type,
mexists_ind: ( mu > $i > $o ) > $i > $o ).
thf(mexists_ind_def,definition,
( mexists_ind
= ( ^ [A: mu > $i > $o] :
( mnot
@ ( mforall_ind
@ ^ [B: mu] : ( mnot @ ( A @ B ) ) ) ) ) ) ).
thf(mvalid_type,type,
mvalid: ( $i > $o ) > $o ).
thf(mvalid_def,definition,
( mvalid
= ( '!' @ $i ) ) ).
thf(rel_s5_type,type,
rel_s5: $i > $i > $o ).
thf(mdia_s5_type,type,
mdia_s5: ( $i > $o ) > $i > $o ).
thf(mdia_s5_def,definition,
( mdia_s5
= ( ^ [A: $i > $o] : ( mnot @ ( mbox_s5 @ ( mnot @ A ) ) ) ) ) ).
thf(f_type,type,
f: mu > $i > $o ).
thf(sk1_type,type,
sk1: $i ).
thf(sk2_type,type,
sk2: $i ).
thf(1,conjecture,
( mvalid
@ ( mimplies @ ( mdia_s5 @ ( mforall_ind @ f ) )
@ ( mexists_ind
@ ^ [A: mu] : ( mdia_s5 @ ( f @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove) ).
thf(2,negated_conjecture,
~ ( mvalid
@ ( mimplies @ ( mdia_s5 @ ( mforall_ind @ f ) )
@ ( mexists_ind
@ ^ [A: mu] : ( mdia_s5 @ ( f @ A ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(6,plain,
~ ! [A: $i] :
( ! [B: $i] :
( ~ ( rel_s5 @ A @ B )
| ~ ! [C: mu] : ( f @ C @ B ) )
| ~ ! [B: mu,C: $i] :
( ~ ( rel_s5 @ A @ C )
| ~ ( f @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
! [A: mu] : ( f @ A @ sk2 ),
inference(cnf,[status(esa)],[6]) ).
thf(7,plain,
! [B: $i,A: mu] :
( ~ ( rel_s5 @ sk1 @ B )
| ~ ( f @ A @ B ) ),
inference(cnf,[status(esa)],[6]) ).
thf(10,plain,
! [B: $i,A: mu] :
( ~ ( rel_s5 @ sk1 @ B )
| ~ ( f @ A @ B ) ),
inference(simp,[status(thm)],[7]) ).
thf(17,plain,
! [C: $i,B: mu,A: mu] :
( ~ ( rel_s5 @ sk1 @ C )
| ( ( f @ A @ sk2 )
!= ( f @ B @ C ) ) ),
inference(paramod_ordered,[status(thm)],[8,10]) ).
thf(18,plain,
~ ( rel_s5 @ sk1 @ sk2 ),
inference(pattern_uni,[status(thm)],[17:[bind(A,$thf( A )),bind(B,$thf( A )),bind(C,$thf( sk2 ))]]) ).
thf(9,plain,
rel_s5 @ sk1 @ sk2,
inference(cnf,[status(esa)],[6]) ).
thf(24,plain,
~ $true,
inference(rewrite,[status(thm)],[18,9]) ).
thf(25,plain,
$false,
inference(simp,[status(thm)],[24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO487^6 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.15 % Command : run_Leo-III %s %d
% 0.15/0.35 % Computer : n014.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Mon May 20 09:05:09 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.97/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/0.99 % [INFO] Parsing done (146ms).
% 1.44/1.00 % [INFO] Running in sequential loop mode.
% 1.77/1.20 % [INFO] nitpick registered as external prover.
% 1.77/1.20 % [INFO] Scanning for conjecture ...
% 2.09/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 3 axioms. Running axiom selection ...
% 2.09/1.32 % [INFO] Axiom selection finished. Selected 3 axioms (removed 0 axioms).
% 2.09/1.33 % [INFO] Problem is higher-order (TPTP THF).
% 2.09/1.33 % [INFO] Type checking passed.
% 2.09/1.33 % [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 ...
% 2.84/1.65 % [INFO] Killing All external provers ...
% 2.84/1.66 % Time passed: 1140ms (effective reasoning time: 656ms)
% 2.84/1.66 % 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)>
% 2.84/1.66 % Axioms used in derivation (0):
% 2.84/1.66 % No. of inferences in proof: 11
% 3.17/1.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1140 ms resp. 656 ms w/o parsing
% 3.17/1.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.17/1.69 % [INFO] Killing All external provers ...
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