TSTP Solution File: SEV282^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV282^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 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 15:59:55 EDT 2024
% Result : Theorem 2.38s 1.52s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 9 ( 7 unt; 0 typ; 2 def)
% Number of atoms : 15 ( 3 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 38 ( 9 ~; 0 |; 4 &; 21 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 18 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 8 ^ 4 !; 6 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(cNAT_type,type,
cNAT: ( ( $i > $o ) > $o ) > $o ).
thf(cNAT_def,definition,
( cNAT
= ( ^ [A: ( $i > $o ) > $o] :
! [B: ( ( $i > $o ) > $o ) > $o] :
( ( ( B @ cZERO )
& ! [C: ( $i > $o ) > $o] :
( ( B @ C )
=> ( B @ ( cSUCC @ C ) ) ) )
=> ( B @ A ) ) ) ) ).
thf(cZERO_type,type,
cZERO: ( $i > $o ) > $o ).
thf(cZERO_def,definition,
( cZERO
= ( ^ [A: $i > $o] :
~ ? [B: $i] : ( A @ B ) ) ) ).
thf(sk1_type,type,
sk1: ( ( $i > $o ) > $o ) > $o ).
thf(1,conjecture,
cNAT @ cZERO,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTTTP6100) ).
thf(2,negated_conjecture,
~ ( cNAT @ cZERO ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: ( ( $i > $o ) > $o ) > $o] :
( ( ( A
@ ^ [B: $i > $o] :
~ ? [C: $i] : ( B @ C ) )
& ! [B: ( $i > $o ) > $o] :
( ( A @ B )
=> ( A
@ ^ [C: $i > $o] :
? [D: $i] :
( ( C @ D )
& ( B
@ ^ [E: $i] :
( ( E != D )
& ( C @ E ) ) ) ) ) ) )
=> ( A
@ ^ [B: $i > $o] :
~ ? [C: $i] : ( B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(6,plain,
( sk1
@ ^ [A: $i > $o] :
~ ? [B: $i] : ( A @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(4,plain,
~ ( sk1
@ ^ [A: $i > $o] :
~ ? [B: $i] : ( A @ B ) ),
inference(cnf,[status(esa)],[3]) ).
thf(7,plain,
$false,
inference(rewrite,[status(thm)],[6,4]) ).
thf(8,plain,
$false,
inference(simp,[status(thm)],[7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEV282^5 : TPTP v8.2.0. Bugfixed v6.2.0.
% 0.04/0.12 % Command : run_Leo-III %s %d SAT
% 0.12/0.33 % Computer : n029.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 : Fri Jun 21 19:11:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.99/0.90 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.15/1.02 % [INFO] Parsing done (117ms).
% 1.15/1.03 % [INFO] Running in sequential loop mode.
% 1.71/1.23 % [INFO] nitpick registered as external prover.
% 1.71/1.24 % [INFO] Scanning for conjecture ...
% 1.77/1.30 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.77/1.32 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.77/1.32 % [INFO] Problem is higher-order (TPTP THF).
% 1.77/1.32 % [INFO] Type checking passed.
% 1.99/1.32 % [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 ...
% 2.38/1.51 % [INFO] Killing All external provers ...
% 2.38/1.52 % Time passed: 992ms (effective reasoning time: 481ms)
% 2.38/1.52 % 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)>
% 2.38/1.52 % Axioms used in derivation (0):
% 2.38/1.52 % No. of inferences in proof: 7
% 2.38/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 992 ms resp. 481 ms w/o parsing
% 2.55/1.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 2.55/1.54 % [INFO] Killing All external provers ...
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