TSTP Solution File: SWW520_5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW520_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n021.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 18:25:32 EDT 2024
% Result : Theorem 6.19s 2.44s
% Output : Refutation 6.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 2
% Syntax : Number of formulae : 11 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 4 equ; 0 cnn)
% Maximal formula atoms : 8 ( 4 avg)
% Number of connectives : 131 ( 12 ~; 5 |; 3 &; 106 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 8 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 5 con; 0-3 aty)
% Number of variables : 23 ( 0 ^ 20 !; 3 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(hoare_1633586161_valid_type,type,
hoare_1633586161_valid:
!>[TA: $tType] : ( nat > ( hoare_28830079triple @ TA ) > $o ) ).
thf(bot_bot_type,type,
bot_bot:
!>[TA: $tType] : TA ).
thf(member_type,type,
member:
!>[TA: $tType] : ( TA > ( fun @ TA @ bool ) > $o ) ).
thf(ga_type,type,
ga: fun @ ( hoare_28830079triple @ a ) @ bool ).
thf(sk2_type,type,
sk2: hoare_28830079triple @ a ).
thf(1,conjecture,
! [A: nat] :
( ? [B: hoare_28830079triple @ a] :
( ( member @ ( hoare_28830079triple @ a ) @ B @ ga )
& ~ ( hoare_1633586161_valid @ a @ A @ B ) )
| ! [B: hoare_28830079triple @ a] :
( ( member @ ( hoare_28830079triple @ a ) @ B @ ( bot_bot @ ( fun @ ( hoare_28830079triple @ a ) @ bool ) ) )
=> ( hoare_1633586161_valid @ a @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ! [A: nat] :
( ? [B: hoare_28830079triple @ a] :
( ( member @ ( hoare_28830079triple @ a ) @ B @ ga )
& ~ ( hoare_1633586161_valid @ a @ A @ B ) )
| ! [B: hoare_28830079triple @ a] :
( ( member @ ( hoare_28830079triple @ a ) @ B @ ( bot_bot @ ( fun @ ( hoare_28830079triple @ a ) @ bool ) ) )
=> ( hoare_1633586161_valid @ a @ A @ B ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(128,plain,
~ ! [A: nat] :
( ? [B: hoare_28830079triple @ a] :
( ( member @ ( hoare_28830079triple @ a ) @ B @ ga )
& ~ ( hoare_1633586161_valid @ a @ A @ B ) )
| ! [B: hoare_28830079triple @ a] :
( ( member @ ( hoare_28830079triple @ a ) @ B @ ( bot_bot @ ( fun @ ( hoare_28830079triple @ a ) @ bool ) ) )
=> ( hoare_1633586161_valid @ a @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(130,plain,
member @ ( hoare_28830079triple @ a ) @ sk2 @ ( bot_bot @ ( fun @ ( hoare_28830079triple @ a ) @ bool ) ),
inference(cnf,[status(esa)],[128]) ).
thf(56,axiom,
! [TA: $tType,A: TA,B: fun @ TA @ bool] :
( ( B
= ( bot_bot @ ( fun @ TA @ bool ) ) )
=> ~ ( member @ TA @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_equals0D) ).
thf(303,plain,
! [TA: $tType,A: TA,B: fun @ TA @ bool] :
( ( B
= ( bot_bot @ ( fun @ TA @ bool ) ) )
=> ~ ( member @ TA @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(304,plain,
! [TA: $tType,B: fun @ TA @ bool,A: TA] :
( ( B
!= ( bot_bot @ ( fun @ TA @ bool ) ) )
| ~ ( member @ TA @ A @ B ) ),
inference(cnf,[status(esa)],[303]) ).
thf(305,plain,
! [TA: $tType,B: fun @ TA @ bool,A: TA] :
( ( B
!= ( bot_bot @ ( fun @ TA @ bool ) ) )
| ~ ( member @ TA @ A @ B ) ),
inference(lifteq,[status(thm)],[304]) ).
thf(306,plain,
! [TA: $tType,A: TA] :
~ ( member @ TA @ A @ ( bot_bot @ ( fun @ TA @ bool ) ) ),
inference(simp,[status(thm)],[305]) ).
thf(536,plain,
$false,
inference(rewrite,[status(thm)],[130,306]) ).
thf(537,plain,
$false,
inference(simp,[status(thm)],[536]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWW520_5 : TPTP v8.2.0. Released v6.0.0.
% 0.11/0.13 % Command : run_Leo-III %s %d SAT
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 09:45:10 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.55/1.05 % [INFO] Parsing done (178ms).
% 1.55/1.06 % [INFO] Running in sequential loop mode.
% 2.14/1.26 % [INFO] nitpick registered as external prover.
% 2.14/1.26 % [INFO] Scanning for conjecture ...
% 2.43/1.35 % [INFO] Found a conjecture (or negated_conjecture) and 125 axioms. Running axiom selection ...
% 2.62/1.42 % [INFO] Axiom selection finished. Selected 125 axioms (removed 0 axioms).
% 3.10/1.54 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.10/1.56 % [INFO] Type checking passed.
% 3.10/1.56 % [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 ...
% 3.90/1.90 % [INFO] [Domain constraints] Detected constraint on bool
% 3.90/1.90 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 6.19/2.44 % [INFO] Killing All external provers ...
% 6.19/2.44 % Time passed: 1898ms (effective reasoning time: 1377ms)
% 6.19/2.44 % 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)>
% 6.19/2.44 % Axioms used in derivation (1): fact_11_equals0D
% 6.19/2.44 % No. of inferences in proof: 11
% 6.19/2.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1898 ms resp. 1377 ms w/o parsing
% 6.19/2.46 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.19/2.46 % [INFO] Killing All external provers ...
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