TSTP Solution File: LCL793_5 by Leo-III-SAT---1.7.10
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : LCL793_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 10:41:55 EDT 2024
% Result : Theorem 130.32s 20.06s
% Output : Refutation 130.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 15
% Syntax : Number of formulae : 28 ( 9 unt; 11 typ; 0 def)
% Number of atoms : 29 ( 2 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 95 ( 9 ~; 4 |; 0 &; 78 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 0 ^ 17 !; 0 ?; 18 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(bool_type,type,
bool: $tType ).
thf(dB_type,type,
dB: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(char_type,type,
char: $tType ).
thf(literal_type,type,
literal: $tType ).
thf(zero_zero_type,type,
zero_zero:
!>[TA: $tType] : TA ).
thf(it_type,type,
it: dB > $o ).
thf(app_type,type,
app: dB > dB > dB ).
thf(var_type,type,
var: nat > dB ).
thf(lift_type,type,
lift: dB > nat > dB ).
thf(u_type,type,
u: dB ).
thf(112,axiom,
! [A: nat,B: dB] :
( ( it @ B )
=> ( it @ ( app @ B @ ( var @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_app__Var__IT) ).
thf(469,plain,
! [A: nat,B: dB] :
( ( it @ B )
=> ( it @ ( app @ B @ ( var @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(470,plain,
! [B: dB,A: nat] :
( ~ ( it @ B )
| ( it @ ( app @ B @ ( var @ A ) ) ) ),
inference(cnf,[status(esa)],[469]) ).
thf(1,conjecture,
it @ ( app @ ( lift @ u @ ( zero_zero @ nat ) ) @ ( var @ ( zero_zero @ nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( it @ ( app @ ( lift @ u @ ( zero_zero @ nat ) ) @ ( var @ ( zero_zero @ nat ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(119,plain,
~ ( it @ ( app @ ( lift @ u @ ( zero_zero @ nat ) ) @ ( var @ ( zero_zero @ nat ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(26159,plain,
! [B: dB,A: nat] :
( ~ ( it @ B )
| ( ( it @ ( app @ B @ ( var @ A ) ) )
!= ( it @ ( app @ ( lift @ u @ ( zero_zero @ nat ) ) @ ( var @ ( zero_zero @ nat ) ) ) ) ) ),
inference(paramod_ordered,[status(thm)],[470,119]) ).
thf(26160,plain,
~ ( it @ ( lift @ u @ ( zero_zero @ nat ) ) ),
inference(pattern_uni,[status(thm)],[26159:[bind(A,$thf( zero_zero @ nat )),bind(B,$thf( lift @ u @ ( zero_zero @ nat ) ))]]) ).
thf(61,axiom,
it @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_uIT) ).
thf(305,plain,
it @ u,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(98,axiom,
! [A: nat,B: dB] :
( ( it @ B )
=> ( it @ ( lift @ B @ A ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_lift__IT) ).
thf(425,plain,
! [A: nat,B: dB] :
( ( it @ B )
=> ( it @ ( lift @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(426,plain,
! [B: dB,A: nat] :
( ~ ( it @ B )
| ( it @ ( lift @ B @ A ) ) ),
inference(cnf,[status(esa)],[425]) ).
thf(23713,plain,
! [B: dB,A: nat] :
( ( it @ ( lift @ B @ A ) )
| ( ( it @ u )
!= ( it @ B ) ) ),
inference(paramod_ordered,[status(thm)],[305,426]) ).
thf(23714,plain,
! [A: nat] : ( it @ ( lift @ u @ A ) ),
inference(pattern_uni,[status(thm)],[23713:[bind(A,$thf( A )),bind(B,$thf( u ))]]) ).
thf(26193,plain,
~ $true,
inference(rewrite,[status(thm)],[26160,23714]) ).
thf(26194,plain,
$false,
inference(simp,[status(thm)],[26193]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LCL793_5 : TPTP v8.1.2. Released v6.0.0.
% 0.05/0.12 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon May 6 18:59:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.90/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.49/1.09 % [INFO] Parsing done (240ms).
% 1.49/1.11 % [INFO] Running in sequential loop mode.
% 2.06/1.44 % [INFO] nitpick registered as external prover.
% 2.06/1.45 % [INFO] Scanning for conjecture ...
% 2.31/1.58 % [INFO] Found a conjecture and 116 axioms. Running axiom selection ...
% 2.49/1.67 % [INFO] Axiom selection finished. Selected 116 axioms (removed 0 axioms).
% 2.97/1.83 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.05/1.87 % [INFO] Type checking passed.
% 3.05/1.87 % [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 ...
% 3.66/2.22 % [INFO] [Domain constraints] Detected constraint on bool
% 3.66/2.22 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 3.66/2.23 % [INFO] [Domain constraints] Detected constraint on bool
% 3.66/2.23 % [INFO] [Domain constraints] dom(bool) ⊆ {fTrue,fFalse}
% 130.32/20.05 % [INFO] Killing All external provers ...
% 130.32/20.05 % Time passed: 19606ms (effective reasoning time: 18933ms)
% 130.32/20.05 % 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)>
% 130.32/20.06 % Axioms used in derivation (3): fact_6_app__Var__IT, fact_2_uIT, fact_4_lift__IT
% 130.32/20.06 % No. of inferences in proof: 17
% 130.32/20.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 19606 ms resp. 18933 ms w/o parsing
% 130.32/20.08 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 130.32/20.08 % [INFO] Killing All external provers ...
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