TSTP Solution File: SEV397^5 by Leo-III-SAT---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III-SAT---1.7.15
% Problem : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d SAT
% Computer : n001.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 16:00:09 EDT 2024
% Result : Theorem 2.35s 1.50s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 6 equ; 0 cnn)
% Maximal formula atoms : 7 ( 6 avg)
% Number of connectives : 99 ( 11 ~; 24 |; 14 &; 50 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cZ_type,type,
cZ: a > $o ).
thf(cY_type,type,
cY: a > $o ).
thf(cX_type,type,
cX: a > $o ).
thf(sk1_type,type,
sk1: a ).
thf(1,conjecture,
! [A: a] :
( ( ( ( cX @ A )
& ( cY @ A ) )
| ( cZ @ A ) )
= ( ( ( cX @ A )
| ( cZ @ A ) )
& ( ( cY @ A )
| ( cZ @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM59_pme) ).
thf(2,negated_conjecture,
~ ! [A: a] :
( ( ( ( cX @ A )
& ( cY @ A ) )
| ( cZ @ A ) )
= ( ( ( cX @ A )
| ( cZ @ A ) )
& ( ( cY @ A )
| ( cZ @ A ) ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a] :
( ( ( ( cX @ A )
& ( cY @ A ) )
| ( cZ @ A ) )
= ( ( ( cX @ A )
| ( cZ @ A ) )
& ( ( cY @ A )
| ( cZ @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( cX @ sk1 )
& ( cY @ sk1 ) )
| ( cZ @ sk1 ) )
!= ( ( ( cX @ sk1 )
| ( cZ @ sk1 ) )
& ( ( cY @ sk1 )
| ( cZ @ sk1 ) ) ) ),
inference(cnf,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ( cX @ sk1 )
| ( cZ @ sk1 ) )
& ( ( cY @ sk1 )
| ( cZ @ sk1 ) ) )
!= ( ( ( cX @ sk1 )
& ( cY @ sk1 ) )
| ( cZ @ sk1 ) ) ),
inference(lifteq,[status(thm)],[4]) ).
thf(6,plain,
( ~ ( ( ( cX @ sk1 )
| ( cZ @ sk1 ) )
& ( ( cY @ sk1 )
| ( cZ @ sk1 ) ) )
| ~ ( ( ( cX @ sk1 )
& ( cY @ sk1 ) )
| ( cZ @ sk1 ) ) ),
inference(bool_ext,[status(thm)],[5]) ).
thf(10,plain,
( ~ ( cZ @ sk1 )
| ~ ( cZ @ sk1 )
| ~ ( cZ @ sk1 ) ),
inference(cnf,[status(esa)],[6]) ).
thf(16,plain,
~ ( cZ @ sk1 ),
inference(simp,[status(thm)],[10]) ).
thf(29,plain,
( ( ( ( cX @ sk1 )
| $false )
& ( ( cY @ sk1 )
| $false ) )
!= ( ( ( cX @ sk1 )
& ( cY @ sk1 ) )
| $false ) ),
inference(rewrite,[status(thm)],[5,16]) ).
thf(30,plain,
$false,
inference(simp,[status(thm)],[29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SEV397^5 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.13 % Command : run_Leo-III %s %d SAT
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 21 18:41:55 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.97/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.25/0.98 % [INFO] Parsing done (108ms).
% 1.25/0.99 % [INFO] Running in sequential loop mode.
% 1.59/1.19 % [INFO] nitpick registered as external prover.
% 1.59/1.19 % [INFO] Scanning for conjecture ...
% 1.78/1.24 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.78/1.26 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.78/1.26 % [INFO] Problem is higher-order (TPTP THF).
% 1.78/1.26 % [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 ...
% 2.35/1.49 % [INFO] Killing All external provers ...
% 2.35/1.50 % Time passed: 956ms (effective reasoning time: 500ms)
% 2.35/1.50 % 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)>
% 2.35/1.50 % Axioms used in derivation (0):
% 2.35/1.50 % No. of inferences in proof: 10
% 2.35/1.50 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 956 ms resp. 500 ms w/o parsing
% 2.52/1.54 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.52/1.54 % [INFO] Killing All external provers ...
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