TSTP Solution File: SWW533_5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SWW533_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n013.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 18:25:33 EDT 2024
% Result : ContradictoryAxioms 123.64s 21.17s
% Output : Refutation 123.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 66 ( 9 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 230 ( 8 ~; 3 |; 0 &; 217 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 9 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 18 ( 0 ^ 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(huffma1516701463abet_F_type,type,
huffma1516701463abet_F:
!>[TA: $tType] : ( ( list @ ( huffma1450048681e_tree @ TA ) ) > ( fun @ TA @ bool ) ) ).
thf(nil_type,type,
nil:
!>[TA: $tType] : ( list @ TA ) ).
thf(bot_bot_type,type,
bot_bot:
!>[TA: $tType] : TA ).
thf(aa_type,type,
aa:
!>[TA: $tType,TB: $tType] : ( ( fun @ TB @ TA ) > TB > TA ) ).
thf(member_type,type,
member:
!>[TA: $tType] : ( fun @ TA @ ( fun @ ( fun @ TA @ bool ) @ bool ) ) ).
thf(pp_type,type,
pp: bool > $o ).
thf(a1_type,type,
a1: a ).
thf(121,axiom,
! [TA: $tType] :
( ( huffma1516701463abet_F @ TA @ ( nil @ ( huffma1450048681e_tree @ TA ) ) )
= ( bot_bot @ ( fun @ TA @ bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_alphabet_092_060_094isub_062F_Osimps_I1_J) ).
thf(526,plain,
! [TA: $tType] :
( ( huffma1516701463abet_F @ TA @ ( nil @ ( huffma1450048681e_tree @ TA ) ) )
= ( bot_bot @ ( fun @ TA @ bool ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(527,plain,
! [TA: $tType] :
( ( huffma1516701463abet_F @ TA @ ( nil @ ( huffma1450048681e_tree @ TA ) ) )
= ( bot_bot @ ( fun @ TA @ bool ) ) ),
inference(cnf,[status(esa)],[526]) ).
thf(528,plain,
! [TA: $tType] :
( ( huffma1516701463abet_F @ TA @ ( nil @ ( huffma1450048681e_tree @ TA ) ) )
= ( bot_bot @ ( fun @ TA @ bool ) ) ),
inference(lifteq,[status(thm)],[527]) ).
thf(42,axiom,
pp @ ( aa @ ( fun @ a @ bool ) @ bool @ ( aa @ a @ ( fun @ ( fun @ a @ bool ) @ bool ) @ ( member @ a ) @ a1 ) @ ( huffma1516701463abet_F @ a @ ( nil @ ( huffma1450048681e_tree @ a ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_Nil_I3_J) ).
thf(268,plain,
pp @ ( aa @ ( fun @ a @ bool ) @ bool @ ( aa @ a @ ( fun @ ( fun @ a @ bool ) @ bool ) @ ( member @ a ) @ a1 ) @ ( huffma1516701463abet_F @ a @ ( nil @ ( huffma1450048681e_tree @ a ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(2289,plain,
( ( pp @ ( aa @ ( fun @ a @ bool ) @ bool @ ( aa @ a @ ( fun @ ( fun @ a @ bool ) @ bool ) @ ( member @ a ) @ a1 ) @ ( bot_bot @ ( fun @ a @ bool ) ) ) )
| ( ( huffma1516701463abet_F @ a @ ( nil @ ( huffma1450048681e_tree @ a ) ) )
!= ( huffma1516701463abet_F @ a @ ( nil @ ( huffma1450048681e_tree @ a ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[528,268]) ).
thf(2290,plain,
pp @ ( aa @ ( fun @ a @ bool ) @ bool @ ( aa @ a @ ( fun @ ( fun @ a @ bool ) @ bool ) @ ( member @ a ) @ a1 ) @ ( bot_bot @ ( fun @ a @ bool ) ) ),
inference(pattern_uni,[status(thm)],[2289:[]]) ).
thf(62,axiom,
! [TA: $tType,A: TA,B: fun @ TA @ bool] :
( ( B
= ( bot_bot @ ( fun @ TA @ bool ) ) )
=> ~ ( pp @ ( aa @ ( fun @ TA @ bool ) @ bool @ ( aa @ TA @ ( fun @ ( fun @ TA @ bool ) @ bool ) @ ( member @ TA ) @ A ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_equals0D) ).
thf(331,plain,
! [TA: $tType,A: TA,B: fun @ TA @ bool] :
( ( B
= ( bot_bot @ ( fun @ TA @ bool ) ) )
=> ~ ( pp @ ( aa @ ( fun @ TA @ bool ) @ bool @ ( aa @ TA @ ( fun @ ( fun @ TA @ bool ) @ bool ) @ ( member @ TA ) @ A ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(332,plain,
! [TA: $tType,B: fun @ TA @ bool,A: TA] :
( ( B
!= ( bot_bot @ ( fun @ TA @ bool ) ) )
| ~ ( pp @ ( aa @ ( fun @ TA @ bool ) @ bool @ ( aa @ TA @ ( fun @ ( fun @ TA @ bool ) @ bool ) @ ( member @ TA ) @ A ) @ B ) ) ),
inference(cnf,[status(esa)],[331]) ).
thf(333,plain,
! [TA: $tType,B: fun @ TA @ bool,A: TA] :
( ( B
!= ( bot_bot @ ( fun @ TA @ bool ) ) )
| ~ ( pp @ ( aa @ ( fun @ TA @ bool ) @ bool @ ( aa @ TA @ ( fun @ ( fun @ TA @ bool ) @ bool ) @ ( member @ TA ) @ A ) @ B ) ) ),
inference(lifteq,[status(thm)],[332]) ).
thf(334,plain,
! [TA: $tType,A: TA] :
~ ( pp @ ( aa @ ( fun @ TA @ bool ) @ bool @ ( aa @ TA @ ( fun @ ( fun @ TA @ bool ) @ bool ) @ ( member @ TA ) @ A ) @ ( bot_bot @ ( fun @ TA @ bool ) ) ) ),
inference(simp,[status(thm)],[333]) ).
thf(23382,plain,
$false,
inference(rewrite,[status(thm)],[2290,334]) ).
thf(23383,plain,
$false,
inference(simp,[status(thm)],[23382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWW533_5 : TPTP v8.2.0. Released v6.0.0.
% 0.00/0.10 % Command : run_Leo-III %s %d SAT
% 0.09/0.30 % Computer : n013.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Jun 19 04:45:25 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.96/1.02 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.85/1.32 % [INFO] Parsing done (290ms).
% 1.85/1.33 % [INFO] Running in sequential loop mode.
% 2.60/1.68 % [INFO] nitpick registered as external prover.
% 2.60/1.68 % [INFO] Scanning for conjecture ...
% 3.12/1.85 % [INFO] Found a conjecture (or negated_conjecture) and 135 axioms. Running axiom selection ...
% 3.39/1.98 % [INFO] Axiom selection finished. Selected 135 axioms (removed 0 axioms).
% 4.00/2.17 % [INFO] Problem is typed first-order (TPTP TFF).
% 4.23/2.19 % [INFO] Type checking passed.
% 4.23/2.19 % [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 ...
% 5.19/2.66 % [INFO] [Domain constraints] Detected constraint on bool
% 5.19/2.66 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 123.64/21.17 % [INFO] Killing All external provers ...
% 123.64/21.17 % Time passed: 20701ms (effective reasoning time: 19833ms)
% 123.64/21.17 % Axioms used in derivation (3): fact_27_alphabet_092_060_094isub_062F_Osimps_I1_J, fact_2_Nil_I3_J, fact_41_equals0D
% 123.64/21.17 % No. of inferences in proof: 15
% 123.64/21.17 % SZS status ContradictoryAxioms for /export/starexec/sandbox2/benchmark/theBenchmark.p : 20701 ms resp. 19833 ms w/o parsing
% 123.64/21.19 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 123.64/21.19 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------