TSTP Solution File: SYO310^5 by Leo-III-SAT---1.7.12
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.12
% Problem : SYO310^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n006.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 08:59:52 EDT 2024
% Result : Theorem 2.41s 1.58s
% Output : Refutation 2.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 1
% Syntax : Number of formulae : 5 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 2 equ; 0 cnn)
% Maximal formula atoms : 16 ( 9 avg)
% Number of connectives : 75 ( 19 ~; 4 |; 22 &; 28 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 8 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 5 ( 0 ^ 2 !; 3 ?; 5 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
( ? [A: $o > $o > $o] :
( ( A @ $true @ $true )
& ( A @ $false @ $false )
& ~ ( A @ $false @ $true )
& ~ ( A @ $true @ $false ) )
& ! [A: $o > $o] :
( ( A @ $true )
= ( A
@ ( $true
=> $true ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cOMEGA_EXAMPLE) ).
thf(2,negated_conjecture,
~ ( ? [A: $o > $o > $o] :
( ( A @ $true @ $true )
& ( A @ $false @ $false )
& ~ ( A @ $false @ $true )
& ~ ( A @ $true @ $false ) )
& ! [A: $o > $o] :
( ( A @ $true )
= ( A
@ ( $true
=> $true ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ? [A: $o > $o > $o] :
( ( A @ $true @ $true )
& ( A @ $false @ $false )
& ~ ( A @ $false @ $true )
& ~ ( A @ $true @ $false ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(28,plain,
~ ( ( ( ~ $true
& ~ $true )
| ( $true
& $true ) )
& ( ( ~ $false
& ~ $false )
| ( $false
& $false ) )
& ~ ( ( ~ $false
& ~ $true )
| ( $false
& $true ) )
& ~ ( ( ~ $true
& ~ $false )
| ( $true
& $false ) ) ),
inference(instance,[status(thm)],[3]) ).
thf(29,plain,
$false,
inference(simp,[status(thm)],[28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SYO310^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.17 % Command : run_Leo-III %s %d
% 0.15/0.38 % Computer : n006.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 300
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Mon May 20 10:14:24 EDT 2024
% 0.15/0.38 % CPUTime :
% 1.00/0.96 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.13/1.07 % [INFO] Parsing done (109ms).
% 1.35/1.08 % [INFO] Running in sequential loop mode.
% 1.64/1.32 % [INFO] nitpick registered as external prover.
% 1.81/1.33 % [INFO] Scanning for conjecture ...
% 1.81/1.39 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.99/1.41 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.99/1.41 % [INFO] Problem is higher-order (TPTP THF).
% 1.99/1.41 % [INFO] Type checking passed.
% 1.99/1.41 % [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 ...
% 2.41/1.58 % [INFO] Killing All external provers ...
% 2.41/1.58 % Time passed: 1047ms (effective reasoning time: 495ms)
% 2.41/1.58 % 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)>
% 2.41/1.58 % Axioms used in derivation (0):
% 2.41/1.58 % No. of inferences in proof: 5
% 2.41/1.58 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1047 ms resp. 495 ms w/o parsing
% 2.41/1.61 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.41/1.61 % [INFO] Killing All external provers ...
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