TSTP Solution File: DAT130^1 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : DAT130^1 : TPTP v8.2.0. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n005.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 May 20 19:48:52 EDT 2024
% Result : Theorem 43.89s 10.98s
% Output : Refutation 43.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 23 ( 15 unt; 7 typ; 0 def)
% Number of atoms : 19 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 176 ( 6 ~; 1 |; 0 &; 169 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 0 !; 0 ?; 3 :)
% ( 3 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(coindu526335360e_lSup_type,type,
coindu526335360e_lSup:
!>[TA: $tType] : ( ( set @ ( coindu1593790203_llist @ TA ) ) > ( coindu1593790203_llist @ TA ) ) ).
thf(coindu1046438764le_lhd_type,type,
coindu1046438764le_lhd:
!>[TA: $tType] : ( ( coindu1593790203_llist @ TA ) > TA ) ).
thf(coindu1047225960le_ltl_type,type,
coindu1047225960le_ltl:
!>[TA: $tType] : ( ( coindu1593790203_llist @ TA ) > ( coindu1593790203_llist @ TA ) ) ).
thf(ya_type,type,
ya: set @ ( coindu1593790203_llist @ a ) ).
thf(less_eq_type,type,
less_eq: a > a > $o ).
thf(xs_type,type,
xs: coindu1593790203_llist @ a ).
thf(182,axiom,
( ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) )
= ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062lhd_A_Iltl_A_IlSup_AY_J_J_A_061_Alhd_A_Iltl_Axs_J_092_060close_062) ).
thf(855,plain,
( ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) )
= ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(856,plain,
( ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) )
= ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ) ),
inference(lifteq,[status(thm)],[855]) ).
thf(188,axiom,
less_eq @ ( coindu1046438764le_lhd @ a @ xs ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062lhd_Axs_A_092_060le_062_Alhd_A_Iltl_Axs_J_092_060close_062) ).
thf(878,plain,
less_eq @ ( coindu1046438764le_lhd @ a @ xs ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(149,axiom,
( ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) )
= ( coindu1046438764le_lhd @ a @ xs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4__092_060open_062lhd_A_IlSup_AY_J_A_061_Alhd_Axs_092_060close_062) ).
thf(739,plain,
( ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) )
= ( coindu1046438764le_lhd @ a @ xs ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(740,plain,
( ( coindu1046438764le_lhd @ a @ xs )
= ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ),
inference(lifteq,[status(thm)],[739]) ).
thf(1372,plain,
less_eq @ ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) ),
inference(rewrite,[status(thm)],[878,740]) ).
thf(1,conjecture,
less_eq @ ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( less_eq @ ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(241,plain,
~ ( less_eq @ ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(1377,plain,
( ( less_eq @ ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) ) )
!= ( less_eq @ ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) @ ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[1372,241]) ).
thf(1382,plain,
( ( ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) )
!= ( coindu1046438764le_lhd @ a @ ( coindu526335360e_lSup @ a @ ya ) ) )
| ( ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) )
!= ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ) ) ),
inference(simp,[status(thm)],[1377]) ).
thf(1388,plain,
( ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ xs ) )
!= ( coindu1046438764le_lhd @ a @ ( coindu1047225960le_ltl @ a @ ( coindu526335360e_lSup @ a @ ya ) ) ) ),
inference(simp,[status(thm)],[1382]) ).
thf(1482,plain,
$false,
inference(simplifyReflect,[status(thm)],[856,1388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : DAT130^1 : TPTP v8.2.0. Released v7.0.0.
% 0.18/0.18 % Command : run_Leo-III %s %d
% 0.18/0.41 % Computer : n005.cluster.edu
% 0.18/0.41 % Model : x86_64 x86_64
% 0.18/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.41 % Memory : 8042.1875MB
% 0.18/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.41 % CPULimit : 300
% 0.18/0.41 % WCLimit : 300
% 0.18/0.41 % DateTime : Sun May 19 23:20:09 EDT 2024
% 0.18/0.41 % CPUTime :
% 1.49/1.36 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 2.87/1.91 % [INFO] Parsing done (542ms).
% 3.32/1.93 % [INFO] Running in sequential loop mode.
% 4.71/2.47 % [INFO] nitpick registered as external prover.
% 4.71/2.48 % [INFO] Scanning for conjecture ...
% 5.32/2.70 % [INFO] Found a conjecture (or negated_conjecture) and 263 axioms. Running axiom selection ...
% 5.63/2.91 % [INFO] Axiom selection finished. Selected 238 axioms (removed 25 axioms).
% 7.26/3.34 % [INFO] Problem is higher-order (TPTP THF).
% 7.26/3.38 % [INFO] Type checking passed.
% 7.26/3.39 % [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 ...
% 43.89/10.97 % [INFO] Killing All external provers ...
% 43.89/10.98 % Time passed: 10349ms (effective reasoning time: 9033ms)
% 43.89/10.98 % 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)>
% 43.89/10.98 % Axioms used in derivation (3): fact_5__092_060open_062lhd_A_Iltl_A_IlSup_AY_J_J_A_061_Alhd_A_Iltl_Axs_J_092_060close_062, fact_1__092_060open_062lhd_Axs_A_092_060le_062_Alhd_A_Iltl_Axs_J_092_060close_062, fact_4__092_060open_062lhd_A_IlSup_AY_J_A_061_Alhd_Axs_092_060close_062
% 43.89/10.98 % No. of inferences in proof: 16
% 43.89/10.98 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 10349 ms resp. 9033 ms w/o parsing
% 43.89/11.01 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 43.89/11.01 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------