TSTP Solution File: SEV258^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SEV258^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n018.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 04:11:12 EDT 2024
% Result : Theorem 2.19s 1.40s
% Output : Refutation 2.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 2
% Syntax : Number of formulae : 5 ( 2 unt; 1 typ; 0 def)
% Number of atoms : 28 ( 8 equ; 0 cnn)
% Maximal formula atoms : 11 ( 7 avg)
% Number of connectives : 40 ( 4 ~; 0 |; 16 &; 10 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 8 ^ 16 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(1,conjecture,
( ! [A: a > $o] :
( ( A
= ( ^ [B: a] : $false ) )
=> $true )
& ! [A: a > $o] :
( ( A
= ( ^ [B: a] : ~ $false ) )
=> $true )
& ! [A: ( a > $o ) > $o,B: a > $o] :
( ( ! [C: a > $o] :
( ( A @ C )
=> $true )
& ( B
= ( ^ [C: a] :
? [D: a > $o] :
( ( A @ D )
& ( D @ C ) ) ) ) )
=> $true )
& ! [A: a > $o,B: a > $o,C: a > $o] :
( ( $true
& $true
& ( C
= ( ^ [D: a] :
( ( A @ D )
& ( B @ D ) ) ) ) )
=> $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDISCRETE_TOPOLOGY_pme) ).
thf(2,negated_conjecture,
~ ( ! [A: a > $o] :
( ( A
= ( ^ [B: a] : $false ) )
=> $true )
& ! [A: a > $o] :
( ( A
= ( ^ [B: a] : ~ $false ) )
=> $true )
& ! [A: ( a > $o ) > $o,B: a > $o] :
( ( ! [C: a > $o] :
( ( A @ C )
=> $true )
& ( B
= ( ^ [C: a] :
? [D: a > $o] :
( ( A @ D )
& ( D @ C ) ) ) ) )
=> $true )
& ! [A: a > $o,B: a > $o,C: a > $o] :
( ( $true
& $true
& ( C
= ( ^ [D: a] :
( ( A @ D )
& ( B @ D ) ) ) ) )
=> $true ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ $true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
$false,
inference(simp,[status(thm)],[3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEV258^5 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.16 % Command : run_Leo-III %s %d
% 0.17/0.37 % Computer : n018.cluster.edu
% 0.17/0.37 % Model : x86_64 x86_64
% 0.17/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.37 % Memory : 8042.1875MB
% 0.17/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.37 % CPULimit : 300
% 0.17/0.37 % WCLimit : 300
% 0.17/0.37 % DateTime : Sun May 19 18:22:24 EDT 2024
% 0.17/0.37 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.20/0.98 % [INFO] Parsing done (109ms).
% 1.20/0.99 % [INFO] Running in sequential loop mode.
% 1.70/1.20 % [INFO] nitpick registered as external prover.
% 1.70/1.21 % [INFO] Scanning for conjecture ...
% 1.87/1.27 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.87/1.29 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.87/1.29 % [INFO] Problem is higher-order (TPTP THF).
% 1.87/1.30 % [INFO] Type checking passed.
% 1.87/1.30 % [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 ...
% 2.19/1.40 % [INFO] Killing All external provers ...
% 2.19/1.40 % Time passed: 863ms (effective reasoning time: 406ms)
% 2.19/1.40 % 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)>
% 2.19/1.40 % Axioms used in derivation (0):
% 2.19/1.40 % No. of inferences in proof: 4
% 2.19/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 863 ms resp. 406 ms w/o parsing
% 2.27/1.43 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.27/1.43 % [INFO] Killing All external provers ...
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