TSTP Solution File: ITP135^1 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : ITP135^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n004.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 10:36:24 EDT 2024
% Result : Theorem 8.76s 3.03s
% Output : Refutation 8.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 33
% Syntax : Number of formulae : 47 ( 18 unt; 29 typ; 0 def)
% Number of atoms : 35 ( 17 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 90 ( 5 ~; 0 |; 0 &; 85 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 23 ( 22 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(set_Pr1723822845lle_tv_type,type,
set_Pr1723822845lle_tv: $tType ).
thf(set_Pr2120184979lle_fm_type,type,
set_Pr2120184979lle_fm: $tType ).
thf(produc1443694919lle_tv_type,type,
produc1443694919lle_tv: $tType ).
thf(produc696645085lle_fm_type,type,
produc696645085lle_fm: $tType ).
thf(set_Pr2014382200lle_tv_type,type,
set_Pr2014382200lle_tv: $tType ).
thf(set_Pr840833727at_nat_type,type,
set_Pr840833727at_nat: $tType ).
thf(set_Pr560526279lle_tv_type,type,
set_Pr560526279lle_tv: $tType ).
thf(produc1647334210lle_tv_type,type,
produc1647334210lle_tv: $tType ).
thf(produc596913417at_nat_type,type,
produc596913417at_nat: $tType ).
thf(produc931990033lle_tv_type,type,
produc931990033lle_tv: $tType ).
thf(set_Pr1725653840tv_nat_type,type,
set_Pr1725653840tv_nat: $tType ).
thf(set_Pr13445366lle_tv_type,type,
set_Pr13445366lle_tv: $tType ).
thf(produc194167194tv_nat_type,type,
produc194167194tv_nat: $tType ).
thf(produc270694976lle_tv_type,type,
produc270694976lle_tv: $tType ).
thf(set_Pr1986765409at_nat_type,type,
set_Pr1986765409at_nat: $tType ).
thf(set_Pa1764573435lle_tv_type,type,
set_Pa1764573435lle_tv: $tType ).
thf(product_prod_nat_nat_type,type,
product_prod_nat_nat: $tType ).
thf(paraco1605129243lle_tv_type,type,
paraco1605129243lle_tv: $tType ).
thf(paraco1604210848lle_fm_type,type,
paraco1604210848lle_fm: $tType ).
thf(list_char_type,type,
list_char: $tType ).
thf(set_nat_type,type,
set_nat: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(paraco761681009ge_int_type,type,
paraco761681009ge_int: ( nat > nat ) > ( list_char > paraco1605129243lle_tv ) > list_char > paraco1605129243lle_tv ).
thf(paraco1147068288nge_tv_type,type,
paraco1147068288nge_tv: ( nat > nat ) > paraco1605129243lle_tv > paraco1605129243lle_tv ).
thf(paraco1325918602e_eval_type,type,
paraco1325918602e_eval: ( list_char > paraco1605129243lle_tv ) > paraco1604210848lle_fm > paraco1605129243lle_tv ).
thf(paraco1344940915le_Det_type,type,
paraco1344940915le_Det: $o > paraco1605129243lle_tv ).
thf(f_type,type,
f: nat > nat ).
thf(i_type,type,
i: list_char > paraco1605129243lle_tv ).
thf(p2_type,type,
p2: paraco1604210848lle_fm ).
thf(1,conjecture,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(114,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(115,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
!= ( paraco1344940915le_Det @ $true ) ),
inference(lifteq,[status(thm)],[114]) ).
thf(96,axiom,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_ih2) ).
thf(482,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(483,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) ) ),
inference(lifteq,[status(thm)],[482]) ).
thf(82,axiom,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_a) ).
thf(427,plain,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(428,plain,
( ( paraco1325918602e_eval @ i @ p2 )
= ( paraco1344940915le_Det @ $true ) ),
inference(lifteq,[status(thm)],[427]) ).
thf(682,plain,
( ( paraco1325918602e_eval @ ( paraco761681009ge_int @ f @ i ) @ p2 )
= ( paraco1147068288nge_tv @ f @ ( paraco1344940915le_Det @ $true ) ) ),
inference(rewrite,[status(thm)],[483,428]) ).
thf(683,plain,
( ( paraco1147068288nge_tv @ f @ ( paraco1344940915le_Det @ $true ) )
!= ( paraco1344940915le_Det @ $true ) ),
inference(rewrite,[status(thm)],[115,682]) ).
thf(86,axiom,
( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
= ( paraco1344940915le_Det @ $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062) ).
thf(443,plain,
( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
= ( paraco1344940915le_Det @ $true ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(444,plain,
( ( paraco1147068288nge_tv @ f @ ( paraco1325918602e_eval @ i @ p2 ) )
= ( paraco1344940915le_Det @ $true ) ),
inference(lifteq,[status(thm)],[443]) ).
thf(631,plain,
( ( paraco1147068288nge_tv @ f @ ( paraco1344940915le_Det @ $true ) )
= ( paraco1344940915le_Det @ $true ) ),
inference(rewrite,[status(thm)],[444,428]) ).
thf(702,plain,
( ( paraco1344940915le_Det @ $true )
!= ( paraco1344940915le_Det @ $true ) ),
inference(rewrite,[status(thm)],[683,631]) ).
thf(703,plain,
$false,
inference(simp,[status(thm)],[702]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP135^1 : TPTP v8.1.2. Released v7.5.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 6 22:10:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 1.01/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.98/1.16 % [INFO] Parsing done (265ms).
% 1.98/1.17 % [INFO] Running in sequential loop mode.
% 2.70/1.37 % [INFO] nitpick registered as external prover.
% 2.70/1.37 % [INFO] Scanning for conjecture ...
% 2.92/1.46 % [INFO] Found a conjecture and 358 axioms. Running axiom selection ...
% 3.20/1.54 % [INFO] Axiom selection finished. Selected 111 axioms (removed 247 axioms).
% 3.55/1.65 % [INFO] Problem is higher-order (TPTP THF).
% 3.55/1.66 % [INFO] Type checking passed.
% 3.55/1.66 % [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 ...
% 8.76/3.03 % [INFO] Killing All external provers ...
% 8.76/3.03 % Time passed: 2506ms (effective reasoning time: 1856ms)
% 8.76/3.03 % 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)>
% 8.76/3.03 % Axioms used in derivation (3): fact_2_ih2, fact_0_a, fact_1__092_060open_062change__tv_Af_A_Ieval_Ai_Ap2_J_A_061_ADet_ATrue_092_060close_062
% 8.76/3.03 % No. of inferences in proof: 18
% 8.76/3.03 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2506 ms resp. 1856 ms w/o parsing
% 8.89/3.05 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.89/3.05 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------