TSTP Solution File: SEV230^5 by Leo-III-SAT---1.7.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEV230^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n008.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 04:11:09 EDT 2024
% Result : Theorem 3.92s 1.87s
% Output : Refutation 3.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 21 ( 4 unt; 6 typ; 0 def)
% Number of atoms : 25 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 91 ( 15 ~; 10 |; 0 &; 45 @)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 26 ( 26 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 ^ 32 !; 0 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(sk1_type,type,
sk1: a > $o ).
thf(sk2_type,type,
sk2: a > $o ).
thf(sk3_type,type,
sk3: ( a > $o ) > $o ).
thf(sk4_type,type,
sk4: a > $o ).
thf(sk5_type,type,
sk5: a ).
thf(1,conjecture,
! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ! [C: ( a > $o ) > $o] :
( ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( D @ E )
=> ( A @ E ) ) )
=> ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( D @ E )
=> ( B @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM88_pme) ).
thf(2,negated_conjecture,
~ ! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ! [C: ( a > $o ) > $o] :
( ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( D @ E )
=> ( A @ E ) ) )
=> ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( D @ E )
=> ( B @ E ) ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a > $o,B: a > $o] :
( ! [C: a] :
( ( A @ C )
=> ( B @ C ) )
=> ! [C: ( a > $o ) > $o] :
( ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( D @ E )
=> ( A @ E ) ) )
=> ! [D: a > $o] :
( ( C @ D )
=> ! [E: a] :
( ( D @ E )
=> ( B @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(8,plain,
sk4 @ sk5,
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
! [B: a,A: a > $o] :
( ~ ( sk3 @ A )
| ~ ( A @ B )
| ( sk1 @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(9,plain,
! [B: a,A: a > $o] :
( ~ ( sk3 @ A )
| ~ ( A @ B )
| ( sk1 @ B ) ),
inference(simp,[status(thm)],[4]) ).
thf(20,plain,
! [B: a,A: a > $o] :
( ~ ( sk3 @ A )
| ( sk1 @ B )
| ( ( sk4 @ sk5 )
!= ( A @ B ) ) ),
inference(paramod_ordered,[status(thm)],[8,9]) ).
thf(37,plain,
( ~ ( sk3 @ sk4 )
| ( sk1 @ sk5 ) ),
inference(pre_uni,[status(thm)],[20:[bind(A,$thf( sk4 )),bind(B,$thf( sk5 ))]]) ).
thf(7,plain,
sk3 @ sk4,
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( sk2 @ A ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
~ ( sk2 @ sk5 ),
inference(cnf,[status(esa)],[3]) ).
thf(10,plain,
! [A: a] :
( ~ ( sk1 @ A )
| ( ( sk2 @ A )
!= ( sk2 @ sk5 ) ) ),
inference(paramod_ordered,[status(thm)],[5,6]) ).
thf(11,plain,
~ ( sk1 @ sk5 ),
inference(pattern_uni,[status(thm)],[10:[bind(A,$thf( sk5 ))]]) ).
thf(108,plain,
( ~ $true
| $false ),
inference(rewrite,[status(thm)],[37,7,11]) ).
thf(109,plain,
$false,
inference(simp,[status(thm)],[108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV230^5 : TPTP v8.2.0. Released v4.0.0.
% 0.14/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n008.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 : Sun May 19 18:45:54 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.94/0.86 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.17/0.96 % [INFO] Parsing done (103ms).
% 1.25/0.97 % [INFO] Running in sequential loop mode.
% 1.55/1.18 % [INFO] nitpick registered as external prover.
% 1.65/1.18 % [INFO] Scanning for conjecture ...
% 1.65/1.23 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.85/1.25 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.85/1.25 % [INFO] Problem is higher-order (TPTP THF).
% 1.85/1.26 % [INFO] Type checking passed.
% 1.85/1.26 % [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 ...
% 3.92/1.86 % [INFO] Killing All external provers ...
% 3.92/1.87 % Time passed: 1350ms (effective reasoning time: 889ms)
% 3.92/1.87 % 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)>
% 3.92/1.87 % Axioms used in derivation (0):
% 3.92/1.87 % No. of inferences in proof: 15
% 3.92/1.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1350 ms resp. 889 ms w/o parsing
% 3.92/1.90 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.92/1.90 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------