TSTP Solution File: SEV256^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV256^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n029.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 15:59:52 EDT 2024
% Result : Theorem 4.79s 1.95s
% Output : Refutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 9 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 0 equ; 0 cnn)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 46 ( 3 ~; 2 |; 5 &; 27 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 2 usr; 2 con; 0-1 aty)
% Number of variables : 22 ( 10 ^ 7 !; 5 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cOPEN_type,type,
cOPEN: ( a > $o ) > $o ).
thf(1,conjecture,
( ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ( cOPEN @ B ) )
=> ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
=> ( cOPEN
@ ^ [A: a] : $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM625A_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ( cOPEN @ B ) )
=> ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
=> ( cOPEN
@ ^ [A: a] : $false ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ( ! [A: ( a > $o ) > $o] :
( ! [B: a > $o] :
( ( A @ B )
=> ( cOPEN @ B ) )
=> ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) )
=> ( cOPEN
@ ^ [A: a] : $false ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: ( a > $o ) > $o] :
( ( A @ ( sk1 @ A ) )
| ( cOPEN
@ ^ [B: a] :
? [C: a > $o] :
( ( A @ C )
& ( C @ B ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(78,plain,
( $false
| ( cOPEN
@ ^ [A: a] :
? [B: a > $o] :
( $false
& ( B @ A ) ) ) ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [B: a > $o] : $false ))]]) ).
thf(104,plain,
( cOPEN
@ ^ [A: a] : $false ),
inference(simp,[status(thm)],[78]) ).
thf(4,plain,
~ ( cOPEN
@ ^ [A: a] : $false ),
inference(cnf,[status(esa)],[3]) ).
thf(111,plain,
$false,
inference(rewrite,[status(thm)],[104,4]) ).
thf(112,plain,
$false,
inference(simp,[status(thm)],[111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SEV256^5 : TPTP v8.2.0. Released v4.0.0.
% 0.09/0.11 % Command : run_Leo-III %s %d SAT
% 0.11/0.32 % Computer : n029.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 18:46:55 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.82/0.84 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.18/0.95 % [INFO] Parsing done (108ms).
% 1.18/0.96 % [INFO] Running in sequential loop mode.
% 1.46/1.16 % [INFO] nitpick registered as external prover.
% 1.46/1.16 % [INFO] Scanning for conjecture ...
% 1.69/1.21 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.79/1.23 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.79/1.23 % [INFO] Problem is higher-order (TPTP THF).
% 1.79/1.23 % [INFO] Type checking passed.
% 1.79/1.24 % [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 ...
% 4.79/1.95 % [INFO] Killing All external provers ...
% 4.79/1.95 % Time passed: 1437ms (effective reasoning time: 983ms)
% 4.79/1.95 % 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)>
% 4.79/1.95 % Axioms used in derivation (0):
% 4.79/1.95 % No. of inferences in proof: 9
% 4.79/1.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1437 ms resp. 983 ms w/o parsing
% 4.79/1.97 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.79/1.97 % [INFO] Killing All external provers ...
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