TSTP Solution File: DAT282^1 by Leo-III-SAT---1.7.10
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : DAT282^1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n026.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 7 10:30:20 EDT 2024
% Result : Theorem 2.83s 2.04s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 15 ( 11 unt; 4 typ; 0 def)
% Number of atoms : 20 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 104 ( 5 ~; 0 |; 0 &; 99 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 2 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 3 con; 0-4 aty)
% Number of variables : 22 ( 0 ^ 19 !; 0 ?; 22 :)
% ( 3 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf('\'const/lists/ZIP\'_type',type,
'\'const/lists/ZIP\'':
!>[TA: $tType,TB: $tType] : ( ( '\'type/ind_types/list\'' @ TB ) > ( '\'type/ind_types/list\'' @ TA ) > ( '\'type/ind_types/list\'' @ ( '\'type/pair/prod\'' @ TB @ TA ) ) ) ).
thf('\'const/ind_types/NIL\'_type',type,
'\'const/ind_types/NIL\'':
!>[TA: $tType] : ( '\'type/ind_types/list\'' @ TA ) ).
thf(skt1_type,type,
skt1: $tType ).
thf(skt2_type,type,
skt2: $tType ).
thf(3,axiom,
! [TA: $tType,TB: $tType,A: '\'type/ind_types/list\'' @ TA] :
( ( '\'const/lists/ZIP\'' @ TB @ TA @ ( '\'const/ind_types/NIL\'' @ TB ) @ A )
= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ TB @ TA ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/ZIP_DEF_0') ).
thf(7,plain,
! [TA: $tType,TB: $tType,A: '\'type/ind_types/list\'' @ TA] :
( ( '\'const/lists/ZIP\'' @ TB @ TA @ ( '\'const/ind_types/NIL\'' @ TB ) @ A )
= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ TB @ TA ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(8,plain,
! [TA: $tType,TB: $tType,A: '\'type/ind_types/list\'' @ TB] :
( ( '\'const/lists/ZIP\'' @ TA @ TB @ ( '\'const/ind_types/NIL\'' @ TA ) @ A )
= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ TA @ TB ) ) ),
inference(cnf,[status(esa)],[7]) ).
thf(9,plain,
! [TA: $tType,TB: $tType,A: '\'type/ind_types/list\'' @ TB] :
( ( '\'const/lists/ZIP\'' @ TA @ TB @ ( '\'const/ind_types/NIL\'' @ TA ) @ A )
= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ TA @ TB ) ) ),
inference(lifteq,[status(thm)],[8]) ).
thf(1,conjecture,
! [TA: $tType,TB: $tType] :
( ( '\'const/lists/ZIP\'' @ TB @ TA @ ( '\'const/ind_types/NIL\'' @ TB ) @ ( '\'const/ind_types/NIL\'' @ TA ) )
= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ TB @ TA ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','thm/lists/ZIP_0') ).
thf(2,negated_conjecture,
~ ! [TA: $tType,TB: $tType] :
( ( '\'const/lists/ZIP\'' @ TB @ TA @ ( '\'const/ind_types/NIL\'' @ TB ) @ ( '\'const/ind_types/NIL\'' @ TA ) )
= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ TB @ TA ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(4,plain,
~ ! [TA: $tType,TB: $tType] :
( ( '\'const/lists/ZIP\'' @ TB @ TA @ ( '\'const/ind_types/NIL\'' @ TB ) @ ( '\'const/ind_types/NIL\'' @ TA ) )
= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ TB @ TA ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
( ( '\'const/lists/ZIP\'' @ skt1 @ skt2 @ ( '\'const/ind_types/NIL\'' @ skt1 ) @ ( '\'const/ind_types/NIL\'' @ skt2 ) )
!= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ skt1 @ skt2 ) ) ),
inference(cnf,[status(esa)],[4]) ).
thf(6,plain,
( ( '\'const/lists/ZIP\'' @ skt1 @ skt2 @ ( '\'const/ind_types/NIL\'' @ skt1 ) @ ( '\'const/ind_types/NIL\'' @ skt2 ) )
!= ( '\'const/ind_types/NIL\'' @ ( '\'type/pair/prod\'' @ skt1 @ skt2 ) ) ),
inference(lifteq,[status(thm)],[5]) ).
thf(10,plain,
! [A: '\'type/ind_types/list\'' @ skt2] :
( ( '\'const/lists/ZIP\'' @ skt1 @ skt2 @ ( '\'const/ind_types/NIL\'' @ skt1 ) @ A )
!= ( '\'const/lists/ZIP\'' @ skt1 @ skt2 @ ( '\'const/ind_types/NIL\'' @ skt1 ) @ ( '\'const/ind_types/NIL\'' @ skt2 ) ) ),
inference(paramod_ordered,[status(thm)],[9,6]) ).
thf(11,plain,
$false,
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( '\'const/ind_types/NIL\'' @ skt2 ))]]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : DAT282^1 : TPTP v8.1.2. Released v7.0.0.
% 0.10/0.13 % Command : run_Leo-III %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon May 6 18:41:54 EDT 2024
% 0.13/0.34 % CPUTime :
% 1.02/0.94 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/1.13 % [INFO] Parsing done (180ms).
% 1.25/1.14 % [INFO] Running in sequential loop mode.
% 1.83/1.51 % [INFO] nitpick registered as external prover.
% 1.95/1.51 % [INFO] Scanning for conjecture ...
% 2.03/1.61 % [INFO] Found a conjecture and 1 axioms. Running axiom selection ...
% 2.19/1.64 % [INFO] Axiom selection finished. Selected 1 axioms (removed 0 axioms).
% 2.19/1.65 % [INFO] Problem is higher-order (TPTP THF).
% 2.19/1.65 % [INFO] Type checking passed.
% 2.19/1.66 % [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 ...
% 2.83/2.04 % [INFO] Killing All external provers ...
% 2.83/2.04 % Time passed: 1546ms (effective reasoning time: 891ms)
% 2.83/2.04 % 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)>
% 2.83/2.04 % Axioms used in derivation (1): thm/lists/ZIP_DEF_0
% 2.83/2.04 % No. of inferences in proof: 11
% 2.83/2.04 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1546 ms resp. 891 ms w/o parsing
% 3.03/2.07 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.03/2.07 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------