TSTP Solution File: LCL755_5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : LCL755_5 : TPTP v8.2.0. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n023.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 21 00:11:07 EDT 2024
% Result : Theorem 206.32s 31.36s
% Output : Refutation 206.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 18
% Syntax : Number of formulae : 38 ( 20 unt; 13 typ; 0 def)
% Number of atoms : 32 ( 11 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 192 ( 11 ~; 3 |; 0 &; 176 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 13 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 22 ( 0 ^ 20 !; 0 ?; 22 :)
% ( 2 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(dB_type,type,
dB: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(one_one_type,type,
one_one:
!>[TA: $tType] : TA ).
thf(plus_plus_type,type,
plus_plus:
!>[TA: $tType] : ( TA > TA > TA ) ).
thf(it_type,type,
it: dB > $o ).
thf(abs_type,type,
abs: dB > dB ).
thf(var_type,type,
var: nat > dB ).
thf(subst_type,type,
subst: dB > dB > nat > dB ).
thf(suc_type,type,
suc: nat > nat ).
thf(ia_type,type,
ia: nat ).
thf(ja_type,type,
ja: nat ).
thf(ra_type,type,
ra: dB ).
thf(84,axiom,
! [A: dB] :
( ( it @ A )
=> ( it @ ( abs @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_Lambda) ).
thf(380,plain,
! [A: dB] :
( ( it @ A )
=> ( it @ ( abs @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(381,plain,
! [A: dB] :
( ~ ( it @ A )
| ( it @ ( abs @ A ) ) ),
inference(cnf,[status(esa)],[380]) ).
thf(107,axiom,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ ( one_one @ nat ) @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_Suc__eq__plus1__left) ).
thf(468,plain,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ ( one_one @ nat ) @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(469,plain,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ ( one_one @ nat ) @ A ) ),
inference(cnf,[status(esa)],[468]) ).
thf(470,plain,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ ( one_one @ nat ) @ A ) ),
inference(lifteq,[status(thm)],[469]) ).
thf(71,axiom,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ A @ ( one_one @ nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_Suc__eq__plus1) ).
thf(335,plain,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ A @ ( one_one @ nat ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(336,plain,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ A @ ( one_one @ nat ) ) ),
inference(cnf,[status(esa)],[335]) ).
thf(337,plain,
! [A: nat] :
( ( suc @ A )
= ( plus_plus @ nat @ A @ ( one_one @ nat ) ) ),
inference(lifteq,[status(thm)],[336]) ).
thf(535,plain,
! [A: nat] :
( ( plus_plus @ nat @ A @ ( one_one @ nat ) )
= ( plus_plus @ nat @ ( one_one @ nat ) @ A ) ),
inference(rewrite,[status(thm)],[470,337]) ).
thf(1,conjecture,
it @ ( abs @ ( subst @ ra @ ( var @ ( suc @ ia ) ) @ ( suc @ ja ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(2,negated_conjecture,
~ ( it @ ( abs @ ( subst @ ra @ ( var @ ( suc @ ia ) ) @ ( suc @ ja ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(115,plain,
~ ( it @ ( abs @ ( subst @ ra @ ( var @ ( suc @ ia ) ) @ ( suc @ ja ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(517,plain,
~ ( it @ ( abs @ ( subst @ ra @ ( var @ ( plus_plus @ nat @ ia @ ( one_one @ nat ) ) ) @ ( plus_plus @ nat @ ja @ ( one_one @ nat ) ) ) ) ),
inference(rewrite,[status(thm)],[115,337]) ).
thf(576,plain,
! [A: nat] :
( ~ ( it @ ( abs @ ( subst @ ra @ ( var @ ( plus_plus @ nat @ ia @ ( one_one @ nat ) ) ) @ ( plus_plus @ nat @ ( one_one @ nat ) @ A ) ) ) )
| ( ( plus_plus @ nat @ A @ ( one_one @ nat ) )
!= ( plus_plus @ nat @ ja @ ( one_one @ nat ) ) ) ),
inference(paramod_ordered,[status(thm)],[535,517]) ).
thf(577,plain,
~ ( it @ ( abs @ ( subst @ ra @ ( var @ ( plus_plus @ nat @ ia @ ( one_one @ nat ) ) ) @ ( plus_plus @ nat @ ( one_one @ nat ) @ ja ) ) ) ),
inference(pattern_uni,[status(thm)],[576:[bind(A,$thf( ja ))]]) ).
thf(63815,plain,
! [A: dB] :
( ~ ( it @ A )
| ( ( it @ ( abs @ A ) )
!= ( it @ ( abs @ ( subst @ ra @ ( var @ ( plus_plus @ nat @ ia @ ( one_one @ nat ) ) ) @ ( plus_plus @ nat @ ( one_one @ nat ) @ ja ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[381,577]) ).
thf(63816,plain,
~ ( it @ ( subst @ ra @ ( var @ ( plus_plus @ nat @ ia @ ( one_one @ nat ) ) ) @ ( plus_plus @ nat @ ( one_one @ nat ) @ ja ) ) ),
inference(pattern_uni,[status(thm)],[63815:[bind(A,$thf( subst @ ra @ ( var @ ( plus_plus @ nat @ ia @ ( one_one @ nat ) ) ) @ ( plus_plus @ nat @ ( one_one @ nat ) @ ja ) ))]]) ).
thf(83,axiom,
! [A: nat,B: nat] : ( it @ ( subst @ ra @ ( var @ A ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(378,plain,
! [A: nat,B: nat] : ( it @ ( subst @ ra @ ( var @ A ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(379,plain,
! [B: nat,A: nat] : ( it @ ( subst @ ra @ ( var @ A ) @ B ) ),
inference(cnf,[status(esa)],[378]) ).
thf(66150,plain,
~ $true,
inference(rewrite,[status(thm)],[63816,379]) ).
thf(66151,plain,
$false,
inference(simp,[status(thm)],[66150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL755_5 : TPTP v8.2.0. Released v6.0.0.
% 0.11/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n023.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 01:40:24 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.87/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.55/1.02 % [INFO] Parsing done (182ms).
% 1.55/1.03 % [INFO] Running in sequential loop mode.
% 2.19/1.25 % [INFO] nitpick registered as external prover.
% 2.19/1.25 % [INFO] Scanning for conjecture ...
% 2.48/1.34 % [INFO] Found a conjecture (or negated_conjecture) and 112 axioms. Running axiom selection ...
% 2.67/1.41 % [INFO] Axiom selection finished. Selected 112 axioms (removed 0 axioms).
% 3.11/1.54 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.11/1.56 % [INFO] Type checking passed.
% 3.11/1.56 % [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 ...
% 206.32/31.35 % [INFO] Killing All external provers ...
% 206.32/31.36 % Time passed: 30849ms (effective reasoning time: 30322ms)
% 206.32/31.36 % 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)>
% 206.32/31.36 % Axioms used in derivation (4): fact_0_Lambda, fact_89_Suc__eq__plus1__left, fact_88_Suc__eq__plus1, conj_1
% 206.32/31.36 % No. of inferences in proof: 25
% 206.32/31.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 30849 ms resp. 30322 ms w/o parsing
% 206.32/31.37 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 206.32/31.37 % [INFO] Killing All external provers ...
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