TSTP Solution File: SEV179^5 by Leo-III---1.7.15
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV179^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% 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 : Mon Jun 24 15:58:26 EDT 2024
% Result : Theorem 4.35s 1.99s
% Output : Refutation 4.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 2
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 1 def)
% Number of atoms : 29 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 84 ( 15 ~; 3 |; 9 &; 57 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 23 ( 8 ^ 6 !; 9 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(cD_FOR_X5309_type,type,
cD_FOR_X5309: ( ( $i > $o ) > $i ) > $i > $o ).
thf(cD_FOR_X5309_def,definition,
( cD_FOR_X5309
= ( ^ [A: ( $i > $o ) > $i,B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( A @ C ) )
& ( B
= ( A @ C ) ) ) ) ) ).
thf(sk1_type,type,
sk1: ( $i > $o ) > $i ).
thf(sk2_type,type,
sk2: $i > $o ).
thf(1,conjecture,
! [A: ( $i > $o ) > $i] : ( cD_FOR_X5309 @ A @ ( A @ ( cD_FOR_X5309 @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM144C_pme) ).
thf(2,negated_conjecture,
~ ! [A: ( $i > $o ) > $i] : ( cD_FOR_X5309 @ A @ ( A @ ( cD_FOR_X5309 @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( $i > $o ) > $i] :
? [B: $i > $o] :
( ~ ( B @ ( A @ B ) )
& ( ( A
@ ^ [C: $i] :
? [D: $i > $o] :
( ~ ( D @ ( A @ D ) )
& ( C
= ( A @ D ) ) ) )
= ( A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
! [A: $i > $o] :
( ( A @ ( sk1 @ A ) )
| ( ( sk1
@ ^ [B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( sk1 @ C ) )
& ( B
= ( sk1 @ C ) ) ) )
!= ( sk1 @ A ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: $i > $o] :
( ( ( sk1
@ ^ [B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( sk1 @ C ) )
& ( B
= ( sk1 @ C ) ) ) )
!= ( sk1 @ A ) )
| ( A @ ( sk1 @ A ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(7,plain,
? [A: $i > $o] :
( ~ ( A @ ( sk1 @ A ) )
& ( ( sk1
@ ^ [B: $i] :
? [C: $i > $o] :
( ~ ( C @ ( sk1 @ C ) )
& ( B
= ( sk1 @ C ) ) ) )
= ( sk1 @ A ) ) ),
inference(pattern_uni,[status(thm)],[5:[bind(A,$thf( ^ [B: $i] : ? [C: $i > $o] : ( ~ ( C @ ( sk1 @ C ) ) & ( B = ( sk1 @ C ) ) ) ))]]) ).
thf(13,plain,
( ( sk1
@ ^ [A: $i] :
? [B: $i > $o] :
( ~ ( B @ ( sk1 @ B ) )
& ( A
= ( sk1 @ B ) ) ) )
= ( sk1 @ sk2 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(15,plain,
( ( sk1
@ ^ [A: $i] :
? [B: $i > $o] :
( ~ ( B @ ( sk1 @ B ) )
& ( A
= ( sk1 @ B ) ) ) )
= ( sk1 @ sk2 ) ),
inference(lifteq,[status(thm)],[13]) ).
thf(29,plain,
! [A: $i > $o] :
( ( A @ ( sk1 @ A ) )
| ( ( sk1 @ sk2 )
!= ( sk1 @ A ) ) ),
inference(paramod_ordered,[status(thm)],[15,5]) ).
thf(30,plain,
sk2 @ ( sk1 @ sk2 ),
inference(pattern_uni,[status(thm)],[29:[bind(A,$thf( sk2 ))]]) ).
thf(14,plain,
~ ( sk2 @ ( sk1 @ sk2 ) ),
inference(cnf,[status(esa)],[7]) ).
thf(64,plain,
$false,
inference(rewrite,[status(thm)],[30,14]) ).
thf(65,plain,
$false,
inference(simp,[status(thm)],[64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV179^5 : TPTP v8.2.0. Bugfixed v5.2.0.
% 0.12/0.13 % Command : run_Leo-III %s %d THM
% 0.13/0.35 % Computer : n026.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri Jun 21 18:53:55 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.97/0.89 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.29/1.00 % [INFO] Parsing done (105ms).
% 1.29/1.01 % [INFO] Running in sequential loop mode.
% 1.68/1.23 % [INFO] eprover registered as external prover.
% 1.68/1.23 % [INFO] Scanning for conjecture ...
% 1.75/1.29 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.75/1.31 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.75/1.31 % [INFO] Problem is higher-order (TPTP THF).
% 1.75/1.31 % [INFO] Type checking passed.
% 1.75/1.32 % [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 ...
% 4.35/1.99 % [INFO] Killing All external provers ...
% 4.35/1.99 % Time passed: 1448ms (effective reasoning time: 976ms)
% 4.35/1.99 % 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)>
% 4.35/1.99 % Axioms used in derivation (0):
% 4.35/1.99 % No. of inferences in proof: 13
% 4.35/1.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1448 ms resp. 976 ms w/o parsing
% 4.35/2.02 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 4.35/2.02 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------