TSTP Solution File: SEV228^5 by Leo-III---1.7.15
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.15
% Problem : SEV228^5 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d THM
% Computer : n019.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 15:58:33 EDT 2024
% Result : Theorem 3.36s 1.84s
% Output : Refutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 25 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 54 ( 12 ~; 3 |; 3 &; 30 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 5 ( 5 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 ^ 8 !; 3 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(a_type,type,
a: $tType ).
thf(cS_type,type,
cS: a > $o ).
thf(sk1_type,type,
sk1: a ).
thf(sk2_type,type,
sk2: ( a > $o ) > a ).
thf(1,conjecture,
! [A: a] :
( ( cS @ A )
=> ? [B: a > $o] :
( ! [C: a] :
( ( B @ C )
=> ( cS @ C ) )
& ( B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM91A_pme) ).
thf(2,negated_conjecture,
~ ! [A: a] :
( ( cS @ A )
=> ? [B: a > $o] :
( ! [C: a] :
( ( B @ C )
=> ( cS @ C ) )
& ( B @ A ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(3,plain,
~ ! [A: a] :
( ( cS @ A )
=> ? [B: a > $o] :
( ! [C: a] :
( ( B @ C )
=> ( cS @ C ) )
& ( B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(5,plain,
! [A: a > $o] :
( ~ ( cS @ ( sk2 @ A ) )
| ~ ( A @ sk1 ) ),
inference(cnf,[status(esa)],[3]) ).
thf(6,plain,
cS @ sk1,
inference(cnf,[status(esa)],[3]) ).
thf(8,plain,
! [A: a > $o] :
( ~ ( cS @ ( sk2 @ A ) )
| ( ( cS @ sk1 )
!= ( A @ sk1 ) ) ),
inference(paramod_ordered,[status(thm)],[6,5]) ).
thf(19,plain,
~ ( cS @ ( sk2 @ cS ) ),
inference(pre_uni,[status(thm)],[8:[bind(A,$thf( cS ))]]) ).
thf(28,plain,
( ( cS @ ( sk2 @ cS ) )
!= ( cS @ sk1 ) ),
inference(paramod_ordered,[status(thm)],[6,19]) ).
thf(29,plain,
( ( sk2 @ cS )
!= sk1 ),
inference(simp,[status(thm)],[28]) ).
thf(13,plain,
( ~ ( cS
@ ( sk2
@ ^ [A: a] : $true ) )
| ~ $true ),
inference(prim_subst,[status(thm)],[5:[bind(A,$thf( ^ [B: a] : $true ))]]) ).
thf(27,plain,
~ ( cS
@ ( sk2
@ ^ [A: a] : $true ) ),
inference(simp,[status(thm)],[13]) ).
thf(65,plain,
$false,
inference(e,[status(thm)],[5,29,6,27,3,19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV228^5 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.12 % Command : run_Leo-III %s %d THM
% 0.12/0.33 % Computer : n019.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 19:39:40 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.98/0.87 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.09/0.98 % [INFO] Parsing done (111ms).
% 1.09/0.99 % [INFO] Running in sequential loop mode.
% 1.61/1.20 % [INFO] eprover registered as external prover.
% 1.61/1.20 % [INFO] Scanning for conjecture ...
% 1.79/1.25 % [INFO] Found a conjecture (or negated_conjecture) and 0 axioms. Running axiom selection ...
% 1.79/1.27 % [INFO] Axiom selection finished. Selected 0 axioms (removed 0 axioms).
% 1.79/1.27 % [INFO] Problem is higher-order (TPTP THF).
% 1.79/1.27 % [INFO] Type checking passed.
% 1.79/1.27 % [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 ...
% 3.36/1.83 % External prover 'e' found a proof!
% 3.36/1.84 % [INFO] Killing All external provers ...
% 3.36/1.84 % Time passed: 1322ms (effective reasoning time: 841ms)
% 3.36/1.84 % 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)>
% 3.36/1.84 % Axioms used in derivation (0):
% 3.36/1.84 % No. of inferences in proof: 12
% 3.36/1.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1322 ms resp. 841 ms w/o parsing
% 3.39/1.86 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 3.39/1.86 % [INFO] Killing All external provers ...
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