TSTP Solution File: SEU219+3 by Leo-III-SAT---1.7.10
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- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.10
% Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n020.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 10:51:31 EDT 2024
% Result : Theorem 268.54s 40.50s
% Output : Refutation 268.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 39 ( 11 unt; 8 typ; 0 def)
% Number of atoms : 80 ( 37 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 203 ( 27 ~; 21 |; 10 &; 133 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 16 ( 0 ^ 16 !; 0 ?; 16 :)
% Comments :
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thf(relation_type,type,
relation: $i > $o ).
thf(function_type,type,
function: $i > $o ).
thf(one_to_one_type,type,
one_to_one: $i > $o ).
thf(relation_rng_type,type,
relation_rng: $i > $i ).
thf(relation_dom_type,type,
relation_dom: $i > $i ).
thf(function_inverse_type,type,
function_inverse: $i > $i ).
thf(relation_inverse_type,type,
relation_inverse: $i > $i ).
thf(sk1_type,type,
sk1: $i ).
thf(1,conjecture,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( function_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_funct_1) ).
thf(2,negated_conjecture,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( function_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(40,plain,
~ ! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( function_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( function_inverse @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(41,plain,
( ( ( relation_rng @ sk1 )
!= ( relation_dom @ ( function_inverse @ sk1 ) ) )
| ( ( relation_dom @ sk1 )
!= ( relation_rng @ ( function_inverse @ sk1 ) ) ) ),
inference(cnf,[status(esa)],[40]) ).
thf(45,plain,
( ( ( relation_dom @ ( function_inverse @ sk1 ) )
!= ( relation_rng @ sk1 ) )
| ( ( relation_dom @ sk1 )
!= ( relation_rng @ ( function_inverse @ sk1 ) ) ) ),
inference(lifteq,[status(thm)],[41]) ).
thf(44,plain,
relation @ sk1,
inference(cnf,[status(esa)],[40]) ).
thf(23,axiom,
! [A: $i] :
( ( relation @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( relation_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( relation_inverse @ A ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_relat_1) ).
thf(100,plain,
! [A: $i] :
( ( relation @ A )
=> ( ( ( relation_rng @ A )
= ( relation_dom @ ( relation_inverse @ A ) ) )
& ( ( relation_dom @ A )
= ( relation_rng @ ( relation_inverse @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(102,plain,
! [A: $i] :
( ~ ( relation @ A )
| ( ( relation_dom @ A )
= ( relation_rng @ ( relation_inverse @ A ) ) ) ),
inference(cnf,[status(esa)],[100]) ).
thf(104,plain,
! [A: $i] :
( ( ( relation_dom @ A )
= ( relation_rng @ ( relation_inverse @ A ) ) )
| ~ ( relation @ A ) ),
inference(lifteq,[status(thm)],[102]) ).
thf(1822,plain,
! [A: $i] :
( ( ( relation_dom @ A )
= ( relation_rng @ ( relation_inverse @ A ) ) )
| ( ( relation @ sk1 )
!= ( relation @ A ) ) ),
inference(paramod_ordered,[status(thm)],[44,104]) ).
thf(1823,plain,
( ( relation_dom @ sk1 )
= ( relation_rng @ ( relation_inverse @ sk1 ) ) ),
inference(pattern_uni,[status(thm)],[1822:[bind(A,$thf( sk1 ))]]) ).
thf(42,plain,
one_to_one @ sk1,
inference(cnf,[status(esa)],[40]) ).
thf(21,axiom,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( function_inverse @ A )
= ( relation_inverse @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_funct_1) ).
thf(94,plain,
! [A: $i] :
( ( ( relation @ A )
& ( function @ A ) )
=> ( ( one_to_one @ A )
=> ( ( function_inverse @ A )
= ( relation_inverse @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(95,plain,
! [A: $i] :
( ~ ( relation @ A )
| ~ ( function @ A )
| ~ ( one_to_one @ A )
| ( ( function_inverse @ A )
= ( relation_inverse @ A ) ) ),
inference(cnf,[status(esa)],[94]) ).
thf(96,plain,
! [A: $i] :
( ( ( relation_inverse @ A )
= ( function_inverse @ A ) )
| ~ ( relation @ A )
| ~ ( function @ A )
| ~ ( one_to_one @ A ) ),
inference(lifteq,[status(thm)],[95]) ).
thf(1082,plain,
! [A: $i] :
( ( ( relation_inverse @ A )
= ( function_inverse @ A ) )
| ~ ( relation @ A )
| ~ ( function @ A )
| ( ( one_to_one @ sk1 )
!= ( one_to_one @ A ) ) ),
inference(paramod_ordered,[status(thm)],[42,96]) ).
thf(1083,plain,
( ( ( relation_inverse @ sk1 )
= ( function_inverse @ sk1 ) )
| ~ ( relation @ sk1 )
| ~ ( function @ sk1 ) ),
inference(pattern_uni,[status(thm)],[1082:[bind(A,$thf( sk1 ))]]) ).
thf(43,plain,
function @ sk1,
inference(cnf,[status(esa)],[40]) ).
thf(76752,plain,
( ( ( relation_inverse @ sk1 )
= ( function_inverse @ sk1 ) )
| ~ $true
| ~ $true ),
inference(rewrite,[status(thm)],[1083,43,44]) ).
thf(76753,plain,
( ( relation_inverse @ sk1 )
= ( function_inverse @ sk1 ) ),
inference(simp,[status(thm)],[76752]) ).
thf(76754,plain,
( ( relation_dom @ sk1 )
= ( relation_rng @ ( function_inverse @ sk1 ) ) ),
inference(rewrite,[status(thm)],[1823,76753]) ).
thf(77541,plain,
( ( relation_dom @ ( function_inverse @ sk1 ) )
!= ( relation_rng @ sk1 ) ),
inference(simplifyReflect,[status(thm)],[45,76754]) ).
thf(101,plain,
! [A: $i] :
( ~ ( relation @ A )
| ( ( relation_rng @ A )
= ( relation_dom @ ( relation_inverse @ A ) ) ) ),
inference(cnf,[status(esa)],[100]) ).
thf(103,plain,
! [A: $i] :
( ( ( relation_dom @ ( relation_inverse @ A ) )
= ( relation_rng @ A ) )
| ~ ( relation @ A ) ),
inference(lifteq,[status(thm)],[101]) ).
thf(1439,plain,
! [A: $i] :
( ( ( relation_dom @ ( relation_inverse @ A ) )
= ( relation_rng @ A ) )
| ( ( relation @ sk1 )
!= ( relation @ A ) ) ),
inference(paramod_ordered,[status(thm)],[44,103]) ).
thf(1440,plain,
( ( relation_dom @ ( relation_inverse @ sk1 ) )
= ( relation_rng @ sk1 ) ),
inference(pattern_uni,[status(thm)],[1439:[bind(A,$thf( sk1 ))]]) ).
thf(76789,plain,
( ( relation_dom @ ( function_inverse @ sk1 ) )
= ( relation_rng @ sk1 ) ),
inference(rewrite,[status(thm)],[1440,76753]) ).
thf(81538,plain,
( ( relation_rng @ sk1 )
!= ( relation_rng @ sk1 ) ),
inference(rewrite,[status(thm)],[77541,76789]) ).
thf(81539,plain,
$false,
inference(simp,[status(thm)],[81538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU219+3 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12 % Command : run_Leo-III %s %d
% 0.12/0.33 % Computer : n020.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 17:43:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.90/0.91 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.32/1.09 % [INFO] Parsing done (175ms).
% 1.32/1.10 % [INFO] Running in sequential loop mode.
% 1.77/1.41 % [INFO] nitpick registered as external prover.
% 1.77/1.42 % [INFO] Scanning for conjecture ...
% 2.01/1.51 % [INFO] Found a conjecture and 39 axioms. Running axiom selection ...
% 2.11/1.58 % [INFO] Axiom selection finished. Selected 37 axioms (removed 2 axioms).
% 2.38/1.64 % [INFO] Problem is first-order (TPTP FOF).
% 2.38/1.65 % [INFO] Type checking passed.
% 2.38/1.65 % [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 ...
% 268.54/40.50 % [INFO] Killing All external provers ...
% 268.54/40.50 % Time passed: 40038ms (effective reasoning time: 39395ms)
% 268.54/40.50 % 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)>
% 268.54/40.50 % Axioms used in derivation (2): t37_relat_1, d9_funct_1
% 268.54/40.50 % No. of inferences in proof: 31
% 268.54/40.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 40038 ms resp. 39395 ms w/o parsing
% 268.54/40.53 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 268.54/40.53 % [INFO] Killing All external provers ...
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